Numerical Solutions Of Three Classes Of Nonlinear Parabolic Integro-differential Equations

Hardcover | November 24, 2015

byJangveladze, Kiguradze, Beny Neta

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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. Investigations of the described equations include theoretical as well as approximation properties Detailed references enable further independent study Easily understandable proofs describe real-world processes with mathematical rigor

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From the Publisher

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 theore...

Temur Jangveladze (Georgia Technical University, Tbilisi, Georgia), is interested in differential and integro-differential equations and systems; nonlinear equations and systems of mathematical physics; mathematical modeling; numerical analysis; nonlocal boundary value problems; nonlocal initial value problemsZurab Kiguradze (Tbilisi S...
Format:HardcoverDimensions:254 pages, 9.41 × 7.24 × 0.98 inPublished:November 24, 2015Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128046287

ISBN - 13:9780128046289

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Table of Contents

  1. Introduction
  2. Mathematical Modeling
  3. Approximate Solutions of the Integro-Differential Models
  4. Numerical Realization of the Discrete Analogue for Models I - III