Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations
  • Release Date : 21 November 2015
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 254 pages
  • ISBN 13 : 9780128046692
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Download or read book entitled Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations by author: T Jangveladze which was release on 21 November 2015 and published by Academic Press with total page 254 pages . This book available in PDF, EPUB and Kindle Format. 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