(EBOOK PDF)Numerical Solutions of Three Classes of Nonlinear Parabolic Integro Differential Equations 1st edition by Jangveladze 9780128046289 0128046287 full chapters

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Product details:

• ISBN 10:0128046287 

• ISBN 13:9780128046289

• Author:Jangveladze  

 Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations
This book describes three classes of nonlinear partial integro-differential equations. These models arise in electromagnetic diffusion processes and heat flow in materials with memory. Mathematical modeling of these processes is briefly described in the first chapter of the book. Investigations of the described equations include theoretical as well as approximation properties. Qualitative and quantitative properties of solutions of initial-boundary value problems are performed therafter. All statements are given with easy understandable proofs. For approximate solution of problems different varieties of numerical methods are investigated. Comparison analyses of those methods are carried out. For theoretical results the corresponding graphical illustrations are included in the book. At the end of each chapter topical bibliographies are provided.

Numerical Solutions of Three Classes of Nonlinear Parabolic Integro Differential Equations 1st Table of contents:

Chapter 1: Introduction
Abstract
1.1 Comments and bibliographical notes
Chapter 2: Mathematical Modeling
Abstract
2.1 Electromagnetic diffusion process
2.2 On the averaged Model II
2.3 Mathematical Model III
2.4 Some features of Models I and II
2.5 Some features of Model III
2.6 Comments and bibliographical notes
2.2 On the averaged Model II
2.3 Mathematical Model III
2.5 Some features of Model III
Chapter 3: Approximate Solutions of the Integro-Differential Models
Abstract
3.1 Semi-discrete scheme for Model I
3.2 Finite difference scheme for Model I
3.3 Semi-discrete scheme for Model II
3.4 Finite difference scheme for Model II
3.5 Discrete analogues of Model III
3.6 Galerkin’s method for Model I
3.7 Galerkin’s method for Model II
3.8 Galerkin’s method for Model III
3.9 Comments and bibliographical notes
3.1 Semi-discrete scheme for Model I
3.2 Finite difference scheme for Model I
3.3 Semi-discrete scheme for Model II
3.4 Finite difference scheme for Model II
3.5 Deserete analogues of Model III
3.6 Galerkin’s method for Model I
3.7 Galerkin’s method for Model II
3.8 Galerkin’s method for Model III
Chapter 4: Numerical Realization of the Discrete Analogous for Models I-III
Abstract
4.1 Finite difference solution of Model I
4.2 Finite difference solution of Model II
4.3 Galerkin’s solution of Model II
4.4 Finite difference solution of Model III
4.5 Comments and bibliographical notes
4.1 Numerical solution of Model I
4.2 Numerical solution of Model II
4.3 Numerical solution of Model III
Bibliography
Index
 

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