Numerical solutions of three classes of nonlinear parabolic integro-differential equations / Temur Jangveladze, Zurab Kiguradze, and Beny Neta.

Format:

Book

Author/Creator:

Jangveladze, Temur, author.

Kiguradze, Zurab, author.

Neta, Beny, author.

Language:

English

Subjects (All):

Integro-differential equations--Numerical solutions.

Integro-differential equations.

Differential equations, Parabolic.

Differential equations, Nonlinear.

Mathematical models.

Physical Description:

1 online resource (249 p.)

Edition:

1st ed.

Place of Publication:

Amsterdam : Elsevier, [2016]

Summary:

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.

Contents:

Title page; Table of Contents; Copyright; Preface; Acknowledgments; Abstract; 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 I3.2 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 II3.8 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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 31, 2015).

Description based on publisher supplied metadata and other sources.

ISBN:

0-12-804669-4

OCLC:

932332611