Analytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential equations of the second order. They do not apply to solutions of partial differential equations of the first order and they are incapable of solving nonlinear boundary value problems. Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order. The work does so uniquely using all analytical formulas for solving equations of mathematical physics without using the theory of series. Within this work, pertinent solutions of linear and nonlinear boundary problems are stated. On the basis of quasi-linearization, operational calculation and splitting on spatial variables, the exact and approached analytical solutions of the equations are obtained in private derivatives of the first and second order. Conditions of unequivocal resolvability of a nonlinear boundary problem are found and the estimation of speed of convergence of iterative process is given. On an example of trial functions results of comparison of the analytical solution are given which have been obtained on suggested mathematical technology, with the exact solution of boundary problems and with the numerical solutions on well-known methods. Discusses the theory and analytical methods for many differential equations appropriate for applied and computational mechanics researchers Addresses pertinent boundary problems in mathematical physics achieved without using the theory of series Includes results that can be used to address nonlinear equations in heat conductivity for the solution of conjugate heat transfer problems and the equations of telegraph and nonlinear transport equation Covers select method solutions for applied mathematicians interested in transport equations methods and thermal protection studies Features extensive revisions from the Russian original, with 115+ new pages of new textual content

Produk Detail:

  • Author : A.S. Yakimov
  • Publisher : Academic Press
  • Pages : 200 pages
  • ISBN : 0128043636
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKAnalytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems
  • Author : A.S. Yakimov
  • Publisher : Academic Press
  • Release : 13 August 2016
GET THIS BOOKAnalytical Solution Methods for Boundary Value Problems

Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential

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  • Publisher : CRC Press
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  • Publisher : World Scientific
  • Release : 21 January 2021
GET THIS BOOKNumerical-analytic Methods in the Theory of Boundary-value Problems

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  • Release : 29 July 2013
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  • Publisher : Courier Corporation
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  • Publisher : SIAM
  • Release : 01 December 1994
GET THIS BOOKNumerical Solution of Boundary Value Problems for Ordinary Differential Equations

This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one

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  • Publisher : Springer
  • Release : 28 January 2019
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The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book

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  • Release : 01 January 2015
GET THIS BOOKUnified Transform for Boundary Value Problems

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  • Release : 08 February 1994
GET THIS BOOKBoundary Value Problems for Partial Differential Equations and Applications in Electrodynamics

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  • Release : 22 April 2014
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  • Release : 10 July 2014
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