Numerical Solutions of Three Classes of Nonlinear Parabolic Integro Differential Equations

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

Produk Detail:

  • Author : T Jangveladze
  • Publisher : Academic Press
  • Pages : 254 pages
  • ISBN : 0128046694
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNumerical Solutions of Three Classes of Nonlinear Parabolic Integro Differential Equations

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

Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations
  • Author : T Jangveladze,Z Kiguradze,Beny Neta
  • Publisher : Academic Press
  • Release : 21 November 2015
GET THIS BOOKNumerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations

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 Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations

Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations
  • Author : T Jangveladze,Z. Kiguradze,Beny Neta
  • Publisher : Academic Press
  • Release : 11 November 2015
GET THIS BOOKNumerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations

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

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  • Author : George Jaiani,David Natroshvili
  • Publisher : Springer
  • Release : 11 January 2019
GET THIS BOOKMathematics, Informatics, and Their Applications in Natural Sciences and Engineering

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017. Written by researchers from the region (Georgia, Russia, Turkey) and from Western countries (France, Germany, Italy, Luxemburg, Spain, USA), it discusses key aspects of mathematics and informatics, and their applications in natural sciences and engineering. Featuring theoretical, practical and numerical contributions, the book appeals to scientists from various disciplines interested in

Numerical Solution of Ordinary Differential Equations

Numerical Solution of Ordinary Differential Equations
  • Author : Kendall Atkinson,Weimin Han,David E. Stewart
  • Publisher : John Wiley & Sons
  • Release : 24 October 2011
GET THIS BOOKNumerical Solution of Ordinary Differential Equations

A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition,

Reviews in Numerical Analysis, 1980-86

Reviews in Numerical Analysis, 1980-86
  • Author : Anonim
  • Publisher : Unknown Publisher
  • Release : 21 June 1987
GET THIS BOOKReviews in Numerical Analysis, 1980-86

These five volumes bring together a wealth of bibliographic information in the area of numerical analysis. Containing over 17,600 reviews of articles, books, and conference proceedings, these volumes represent all the numerical analysis entries that appeared in Mathematical Reviews between 1980 and 1986. Author and key indexes appear at the end of volume 5.

Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method
  • Author : Claes Johnson
  • Publisher : Courier Corporation
  • Release : 23 May 2012
GET THIS BOOKNumerical Solution of Partial Differential Equations by the Finite Element Method

An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods