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Systems Of Generalized Abel Integral Equations
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Book Synopsis Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations by : J. R. Walton
Download or read book Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations written by J. R. Walton and published by . This book was released on 1977 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is presented for solving certain systems of generalized Abel integral equations by constructing equivalent singular integral equations and their corresponding Riemann boundary value problems. An application is then given to a class of simultaneous dual relations of a type arising in bimedia fracture problems in elasticity and viscoelasticity. The equations discussed in this paper are a generalization of those considered earlier.
Book Synopsis Systems of Generalized Abel Integral Equations by : M. Lowengrub
Download or read book Systems of Generalized Abel Integral Equations written by M. Lowengrub and published by . This book was released on 1977 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method is presented for solving systems of generalized Abel integral equations by reduction to equivalent coupled Riemann-Hilbert boundary value problems. It is demonstrated how the Riemann system may be uncoupled and closed form solutions computed. An application is then given to solving certain simultaneous dual relations which arise in bimedia fracture problems in elasticity. (Author).
Book Synopsis Abel Integral Equations by : Rudolf Gorenflo
Download or read book Abel Integral Equations written by Rudolf Gorenflo and published by Springer. This book was released on 2006-11-14 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
Book Synopsis Generalized Abel's Integral Equation ... by : Donald Lee Schmidt
Download or read book Generalized Abel's Integral Equation ... written by Donald Lee Schmidt and published by . This book was released on 1955 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear and Nonlinear Integral Equations by : Abdul-Majid Wazwaz
Download or read book Linear and Nonlinear Integral Equations written by Abdul-Majid Wazwaz and published by Springer Science & Business Media. This book was released on 2011-11-24 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Book Synopsis On the theory of generalized Abel integral equations on the half-linie by : Frank Penzel
Download or read book On the theory of generalized Abel integral equations on the half-linie written by Frank Penzel and published by . This book was released on 1986 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Theory of Generalized Abel Integral Equations on the Half Line by : Frank Penzel
Download or read book On the Theory of Generalized Abel Integral Equations on the Half Line written by Frank Penzel and published by . This book was released on 1986 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regularization of a generalized Abel integral equation by : Dang Dinh Ang
Download or read book Regularization of a generalized Abel integral equation written by Dang Dinh Ang and published by . This book was released on 1990 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An operational method for solving generalized Abel integral equations of second kind by : Rudolf Gorenflo
Download or read book An operational method for solving generalized Abel integral equations of second kind written by Rudolf Gorenflo and published by . This book was released on 1995 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solutions of Realistic Nonlinear Phenomena by : J. A. Tenreiro Machado
Download or read book Numerical Solutions of Realistic Nonlinear Phenomena written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.
Book Synopsis Regularization of a Generalized Abel Integral Equation by : Dang Dinh Ang
Download or read book Regularization of a Generalized Abel Integral Equation written by Dang Dinh Ang and published by . This book was released on 1990 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Numerical Solution of the Generalized Abel Integral Equation by : Stanisław Lewanowicz
Download or read book On the Numerical Solution of the Generalized Abel Integral Equation written by Stanisław Lewanowicz and published by . This book was released on 1988 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Equations on Time Scales by : Svetlin G. Georgiev
Download or read book Integral Equations on Time Scales written by Svetlin G. Georgiev and published by Springer. This book was released on 2016-10-30 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.
Book Synopsis Abel Integral Equations by : Rudolf Gorenflo
Download or read book Abel Integral Equations written by Rudolf Gorenflo and published by . This book was released on 2014-01-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytical and Numerical Methods for Volterra Equations by : Peter Linz
Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Book Synopsis Integral Equations by : S. G. Mikhlin
Download or read book Integral Equations written by S. G. Mikhlin and published by Elsevier. This book was released on 2014-07-22 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equations: And their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, Second Revised Edition contains an account of the general theory of Fredholm and Hilbert-Schmidt. This edition discusses methods of approximate solution of Fredholm's equation and, in particular, their application to the solution of basic problems in mathematical physics, including certain problems in hydrodynamics and the theory of elasticity. Other topics include the equations of Volterra type, determination of the first eigenvalue by Ritz's method, and systems of singular integral equations. The generalized method of Schwarz, convergence of successive approximations, stability of a rod in compression, and mixed problem of the theory of elasticity are also elaborated. This publication is recommended for mathematicians, students, and researchers concerned with singular integral equations.
Book Synopsis Integral Equations and Their Applications by : Matiur Rahman
Download or read book Integral Equations and Their Applications written by Matiur Rahman and published by WIT Press. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.
