Numerical solutions of three classes of nonlinear parabolic integro-differential equations / [electronic resource]
by Jangveladze, Temur [author.]; Kiguradze, Zurab [author.]; Neta, Beny [author.].
Material type: BookPublisher: Amsterdam : Elsevier, 2016.Description: 1 online resource.ISBN: 9780128046692; 0128046694.Subject(s): Differential equations, Nonlinear | Nonlinear theories | Mathematical physics | SCIENCE -- Energy | SCIENCE -- Mechanics -- General | SCIENCE -- Physics -- General | Differential equations, Nonlinear | Mathematical physics | Nonlinear theories | Electronic books | Electronic booksOnline resources: ScienceDirectOnline resource; title from PDF title page (EBSCO, viewed December 3, 2015).
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.
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