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

By: Jangveladze, Temur [author.].
Contributor(s): Kiguradze, Zurab [author.] | Neta, Beny [author.].
Material type: materialTypeLabelBookPublisher: Amsterdam : Elsevier, [2016]Copyright date: ©2016Description: viii, 243 pages : illustrations ; 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780128046289 (hbk.); 0128046287 (hbk.).Subject(s): Differential equations, Nonlinear | Nonlinear theories | Mathematical physics | Differential equations, Nonlinear | Mathematical physics | Nonlinear theoriesDDC classification: 515.3534/JAN Online resources: Click here to access online
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.
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Includes bibliographical references and index.

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.

Mathematics

English

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