Nonlinear Differential Equations Of Chemically Reacting Systems

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Nonlinear Differential Equations of Chemically Reacting Systems

Author : George R. Gavalas
Publisher : Springer Science & Business Media
ISBN 13 : 3642876439
Total Pages : 116 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems written by George R. Gavalas and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ ential equations. The numerical approach provides quantitative infor mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.

Nonlinear Differential Equations of Chemically Reacting Systems

Author : Gavalas GR.
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (985 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems by : Gavalas GR.

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems written by Gavalas GR. and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Equations of Chemically Reacting Systems By George R. Gavalas

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (723 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems By George R. Gavalas by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems By George R. Gavalas written by George R. Gavalas and published by . This book was released on 1968 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Equations of Chemically Reacting Systems [by] George R.G. Gavalas

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (639 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems [by] George R.G. Gavalas by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems [by] George R.G. Gavalas written by George R. Gavalas and published by . This book was released on 1968 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear differential equations of chemically reactting systems

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Nonlinear differential equations of chemically reactting systems by : George R. Gavalas

Download or read book Nonlinear differential equations of chemically reactting systems written by George R. Gavalas and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Equations and Dynamical Systems

Author : Feliz Manuel Minhós
Publisher : MDPI
ISBN 13 : 3036507108
Total Pages : 158 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Nonlinear Differential Equations and Dynamical Systems by : Feliz Manuel Minhós

Download or read book Nonlinear Differential Equations and Dynamical Systems written by Feliz Manuel Minhós and published by MDPI. This book was released on 2021-04-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

Nonlinear Differential Equations of Chemically Reatcing Systems

Author : G. R. Gavalas
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (859 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reatcing Systems by : G. R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reatcing Systems written by G. R. Gavalas and published by . This book was released on 1968 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Differential Equations

Author : Raimond A. Struble
Publisher : Courier Dover Publications
ISBN 13 : 0486817547
Total Pages : 289 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Nonlinear Differential Equations by : Raimond A. Struble

Download or read book Nonlinear Differential Equations written by Raimond A. Struble and published by Courier Dover Publications. This book was released on 2018-01-16 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed treatment covers existence and uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems, stability of nonlinear systems, and two-dimensional systems. 1962 edition.

Nonlinear Differential Equations of Chemically Rating Systems

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Rating Systems by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Rating Systems written by George R. Gavalas and published by . This book was released on 1968 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Closer Look of Nonlinear Reaction-Diffusion Equations

Author : Lakshmanan Rajendran
Publisher : Nova Science Publishers
ISBN 13 : 9781536183566
Total Pages : 207 pages
Book Rating : 4.1/5 (835 download)

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Book Synopsis A Closer Look of Nonlinear Reaction-Diffusion Equations by : Lakshmanan Rajendran

Download or read book A Closer Look of Nonlinear Reaction-Diffusion Equations written by Lakshmanan Rajendran and published by Nova Science Publishers. This book was released on 2020-10 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area.Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science.This book contains seven chapters and practical applications to the problems of the real world. The first chapter is specifically for those with limited mathematical background. Chapter one presents the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear reaction-diffusion in different fields with some important non-linear equations is also discussed. In Chapter 2, mathematical preliminaries and various advanced methods of solving non-linear differential equations such as Homotopy perturbation method, variational iteration method, exponential function method etc. are described with examples.Steady and non-steady state reaction-diffusion equations in the plane sheet (chapter 3), cylinder (chapter 4) and spherical (chapter 5) are analyzed. The analytical results published by various researchers in referred journals during 2007-2020 have been addressed in these chapters 4 to 6, and this leads to conclusions and recommendations on what approaches to use on non-linear reaction-diffusion equations.Convection-diffusion problems arise very often in applied sciences and engineering. Non-linear convection-diffusion equations and corresponding analytical solutions in various fields of chemical sciences are discussed in chapter6. Numerical methods are used to provide approximate results for the non-linear problems, and their importance is felt when it is impossible or difficult to solve a given problem analytically. Chapter 7 identifies some of the numerical methods for finding solutions to non-linear differential equations.

Introduction to Nonlinear Differential and Integral Equations

Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Introduction to Nonlinear Differential and Integral Equations by : Harold Thayer Davis

Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1960 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conservation Equations And Modeling Of Chemical And Biochemical Processes

Author : Said S.E.H. Elnashaie
Publisher : CRC Press
ISBN 13 : 9780203911501
Total Pages : 672 pages
Book Rating : 4.9/5 (115 download)

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Book Synopsis Conservation Equations And Modeling Of Chemical And Biochemical Processes by : Said S.E.H. Elnashaie

Download or read book Conservation Equations And Modeling Of Chemical And Biochemical Processes written by Said S.E.H. Elnashaie and published by CRC Press. This book was released on 2003-03-26 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting strategies in control policies, this text uses a systems theory approach to predict, simulate and streamline plant operation, conserve fuel and resources, and increase workplace safety in the manufacturing, chemical, petrochemical, petroleum, biochemical and energy industries. Topics of discussion include system theory and chemical/biochemical engineering systems, steady state, unsteady state, and thermodynamic equilibrium, modeling of systems, fundamental laws governing the processes in terms of the state variables, different classifications of physical models, the story of chemical engineering in relation to system theory and mathematical modeling, overall heat balance with single and multiple chemical reactions and single and multiple reactions.

Nonlinear Differential Equations of Chemically ...

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Nonlinear Differential Equations of Chemically ... by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically ... written by George R. Gavalas and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Treatment of Chemically Reacting Systems

Author : Ashwani K. Kapila
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Asymptotic Treatment of Chemically Reacting Systems by : Ashwani K. Kapila

Download or read book Asymptotic Treatment of Chemically Reacting Systems written by Ashwani K. Kapila and published by . This book was released on 1983 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical and Analytical Methods in Nonlinear Partial Differential Equations

Author : Richard E. Ewing
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Numerical and Analytical Methods in Nonlinear Partial Differential Equations by : Richard E. Ewing

Download or read book Numerical and Analytical Methods in Nonlinear Partial Differential Equations written by Richard E. Ewing and published by . This book was released on 1987 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex physical phenomena involving chemically reacting systems or the transport of heat or fluids are often modeled by coupled systems of time-dependent, nonlinear partial differential equations. The difficulties in understanding the stability of the differential equation systems and in designing efficient, accurate numerical methods for their solution are widely recognized and were the focus of this research. We have worked on four general aspects of the analysis and numerical approximation of systems of partial differential equations. These areas of research are: (1) modeling aspects and stability analysis for nonlinear time-dependent partial differential equations; (2) use and analysis of finite element or finite difference methods to discretize coupled systems of nonlinear differential equations; (3) development of adaptive or local grid refinement capabilities to resolve local phenomena in large-scale applications; and (4) development of data structures, preconditioners, and efficient solution algorithms for large-scale problems on new computer architectures. Emphasis has been placed upon multiphase or multicomponent, transport-dominated flow processes with dynamic local phenomena. The research also involved a mix of analysis, algorithm development, and large-scale computation using newer computer architectures.

An Introduction to Nonlinear Partial Differential Equations

Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 0470225955
Total Pages : 416 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis An Introduction to Nonlinear Partial Differential Equations by : J. David Logan

Download or read book An Introduction to Nonlinear Partial Differential Equations written by J. David Logan and published by John Wiley & Sons. This book was released on 2008-04-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences

Author : Anthony W Leung
Publisher : World Scientific
ISBN 13 : 9814467472
Total Pages : 545 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences by : Anthony W Leung

Download or read book Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences written by Anthony W Leung and published by World Scientific. This book was released on 2009-08-28 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers.The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering.Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.