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Transform Methods For Solving Partial Differential Equations
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Book Synopsis Transform Methods for Solving Partial Differential Equations by : Dean G. Duffy
Download or read book Transform Methods for Solving Partial Differential Equations written by Dean G. Duffy and published by CRC Press. This book was released on 2004-07-15 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana
Book Synopsis Transform Methods for Solving Partial Differential Equations by : Dean G. Duffy
Download or read book Transform Methods for Solving Partial Differential Equations written by Dean G. Duffy and published by CRC Press. This book was released on 1994-02-16 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most scientists and engineers, the only analytic technique for solving linear partial differential equations is separation of variables. In Transform Methods for Solving Partial Differential Equations, the author uses the power of complex variables to demonstrate how Laplace and Fourier transforms can be harnessed to solve many practical, everyday problems experienced by scientists and engineers. Unlike many mathematics texts, this book provides a step-by-step analysis of problems taken from scientific and engineering literature. Detailed solutions are given in the back of the book. This essential text/reference draws from the latest literature on transform methods to provide in-depth discussions on the joint transform problem, the Cagniard-de Hoop method, and the Wiener-Hopf technique. Some 1,500 references are included as well.
Book Synopsis Transform Methods for Solving Partial Differential Equations, Second Edition by : Dean G. Duffy
Download or read book Transform Methods for Solving Partial Differential Equations, Second Edition written by Dean G. Duffy and published by Chapman and Hall/CRC. This book was released on 2004-07-15 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found analytically, numeric and asymptotic techniques now exist for their inversion, and because the problem retains some of its analytic aspect, one can gain greater physical insight than typically obtained from a purely numerical approach. Transform Methods for Solving Partial Differential Equations, Second Edition illustrates the use of Laplace, Fourier, and Hankel transforms to solve partial differential equations encountered in science and engineering. The author has expanded the second edition to provide a broader perspective on the applicability and use of transform methods and incorporated a number of significant refinements: New in the Second Edition: · Expanded scope that includes numerical methods and asymptotic techniques for inverting particularly complicated transforms · Discussions throughout the book that compare and contrast transform methods with separation of variables, asymptotic methods, and numerical techniques · Many added examples and exercises taken from a wide variety of scientific and engineering sources · Nearly 300 illustrations--many added to the problem sections to help readers visualize the physical problems · A revised format that makes the book easier to use as a reference: problems are classified according to type of region, type of coordinate system, and type of partial differential equation · Updated references, now arranged by subject instead of listed all together As reflected by the book's organization, content, and many examples, the author's focus remains firmly on applications. While the subject matter is classical, this book gives it a fresh, modern treatment that is exceptionally practical, eminently readable, and especially valuable to anyone solving problems in engineering and the applied sciences.
Book Synopsis Partial Differential Equations by : Walter A. Strauss
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood
Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.
Book Synopsis Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations by : Santanu Saha Ray
Download or read book Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations written by Santanu Saha Ray and published by CRC Press. This book was released on 2018-01-12 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.
Book Synopsis Partial Differential Equations and Mathematica by : Prem K. Kythe
Download or read book Partial Differential Equations and Mathematica written by Prem K. Kythe and published by CRC Press. This book was released on 2018-10-03 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand. Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality. New in this edition: Upgraded and expanded Mathematica sections that include more exercises An entire chapter on boundary value problems More on inverse operators, Legendre functions, and Bessel functions Simplified treatment of Green's functions that make it more accessible to undergraduates A section on the numerical computation of Green's functions Mathemcatica codes for solving most of the problems discussed Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows Wave propagation and dispersion With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.
Book Synopsis Solving Nonlinear Partial Differential Equations with Maple and Mathematica by : Inna Shingareva
Download or read book Solving Nonlinear Partial Differential Equations with Maple and Mathematica written by Inna Shingareva and published by Springer Science & Business Media. This book was released on 2011-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).
Book Synopsis Student Solutions Manual, Partial Differential Equations & Boundary Value Problems with Maple by : George A. Articolo
Download or read book Student Solutions Manual, Partial Differential Equations & Boundary Value Problems with Maple written by George A. Articolo and published by Academic Press. This book was released on 2009-07-22 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student Solutions Manual, Partial Differential Equations & Boundary Value Problems with Maple
Book Synopsis Partial Differential Equations of Applied Mathematics by : Erich Zauderer
Download or read book Partial Differential Equations of Applied Mathematics written by Erich Zauderer and published by Wiley-Interscience. This book was released on 1998-08-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only comprehensive guide to modeling, characterizing, and solving partial differential equations This classic text by Erich Zauderer provides a comprehensive account of partial differential equations and their applications. Dr. Zauderer develops mathematical models that give rise to partial differential equations and describes classical and modern solution techniques. With an emphasis on practical applications, he makes liberal use of real-world examples, explores both linear and nonlinear problems, and provides approximate as well as exact solutions. He also describes approximation methods for simplifying complicated solutions and for solving linear and nonlinear problems not readily solved by standard methods. The book begins with a demonstration of how the three basic types of equations (parabolic, hyperbolic, and elliptic) can be derived from random walk models. It continues in a less statistical vein to cover an exceptionally broad range of topics, including stabilities, singularities, transform methods, the use of Green's functions, and perturbation and asymptotic treatments. Features that set Partial Differential Equations of Applied Mathematics, Second Edition above all other texts in the field include: Coverage of random walk problems, discontinuous and singular solutions, and perturbation and asymptotic methods More than 800 practice exercises, many of which are fully worked out Numerous up-to-date examples from engineering and the physical sciences Partial Differential Equations of Applied Mathematics, Second Edition is a superior advanced-undergraduate to graduate-level text for students in engineering, the sciences, and applied mathematics. The title is also a valuable working resource for professionals in these fields. Dr. Zauderer received his doctorate in mathematics from the New York University-Courant Institute. Prior to joining the staff of Polytechnic University, he was a Senior Weitzmann Fellow of the Weitzmann Institute of Science in Rehovot, Israel.
Book Synopsis Partial Differential Equations for Scientists and Engineers by : Stanley J. Farlow
Download or read book Partial Differential Equations for Scientists and Engineers written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2012-03-08 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
Book Synopsis Differential Transformation Method for Mechanical Engineering Problems by : Mohammad Hatami
Download or read book Differential Transformation Method for Mechanical Engineering Problems written by Mohammad Hatami and published by Academic Press. This book was released on 2016-11-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Transformation Method for Mechanical Engineering Problems focuses on applying DTM to a range of mechanical engineering applications. The authors modify traditional DTM to produce two additional methods, multi-step differential transformation method (Ms-DTM) and the hybrid differential transformation method and finite difference method (Hybrid DTM-FDM). It is then demonstrated how these can be a suitable series solution for engineering and physical problems, such as the motion of a spherical particle, nanofluid flow and heat transfer, and micropolar fluid flow and heat transfer. - Presents the differential transformation method and why it holds an advantage over higher-order Taylor series methods - Includes a full mathematical introduction to DTM, Ms-DTM, and Hybrid DTM - Covers the use of these methods for solving a range of problems in areas such as nanofluid flow, heat transfer, and motion of a spherical particle in different conditions - Provides numerous examples and exercises which will help the reader fully grasp the practical applications of these new methods
Book Synopsis A First Course in Partial Differential Equations by : H. F. Weinberger
Download or read book A First Course in Partial Differential Equations written by H. F. Weinberger and published by Courier Corporation. This book was released on 2012-04-20 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.
Book Synopsis Transforms and Partial Differential Equations(Combo) by : P. Sivaramakrishna Das
Download or read book Transforms and Partial Differential Equations(Combo) written by P. Sivaramakrishna Das and published by Pearson Education India. This book was released on with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transforms and Partial Differential Equations, 6e is designed to provide a firm foundation on the basic concepts of partial differential equations, Fourier series analysis, Fourier series techniques in solving heat flow problems, Fourier transform techniques and Z-transforms. In their trademark student-friendly style, the authors have endeavored to provide an in-depth understanding of the important principles, methods and processes of obtaining results in a systematic way with emphasis on clarity and academic rigor. Features: • More than 320 solved examples • More than 250 exercises with answers • More than 150 Part A questions with answers • Plenty of hints for problems • Includes a free book containing FAQs Table of Contents: Preface Acknowledgements About the Authors 1. Partial Differential Equations 2. Fourier Series 3. Application of Partial Differential Equations 4. Fourier Transforms 5. Z-transforms and Difference Equations Formulae To Remember
Book Synopsis Partial Differential Equations by : Victor Henner
Download or read book Partial Differential Equations written by Victor Henner and published by CRC Press. This book was released on 2019-11-20 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses. Highlights: Offers a complete first course on PDEs The text’s flexible structure promotes varied syllabi for courses Written with a teach-by-example approach which offers numerous examples and applications Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions The text’s graphical material makes excellent use of modern software packages Features numerous examples and applications which are suitable for readers studying the subject remotely or independently
Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou
Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Book Synopsis Partial Differential Equations by : Ioannis P. Stavroulakis
Download or read book Partial Differential Equations written by Ioannis P. Stavroulakis and published by World Scientific. This book was released on 2004 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.
