Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations by T Jangveladze, Z Kiguradze, Beny Neta, Elsevier Science
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Author: T Jangveladze, Z Kiguradze, Beny Neta ISBN: 9780128046692
Publisher: Elsevier Science Publication: November 21, 2015
Imprint: Academic Press Language: English
Author: T Jangveladze, Z Kiguradze, Beny Neta
ISBN: 9780128046692
Publisher: Elsevier Science
Publication: November 21, 2015
Imprint: Academic Press
Language: English

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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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.

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