# Analytical Solution Methods for Boundary Value Problems

Written By • Publsiher : Academic Press
• Release : 13 August 2016
• ISBN : 0128043636
• Pages : 200 pages
• Rating : /5 from reviews

Download or read book entitled Analytical Solution Methods for Boundary Value Problems by author: A.S. Yakimov which was release on 13 August 2016 and published by Academic Press with total page 200 pages . This book available in PDF, EPUB and Kindle Format. 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

## Analytical Solution Methods for Boundary Value Problems • Author : A.S. Yakimov
• Publisher : Academic Press
• Release Date : 2016-08-13
• Total pages : 200
• ISBN : 0128043636

Summary : 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 ...

## Numerical Analytic Methods in the Theory of Boundary Value Problems • Author : M Ronto,A M Samoilenko
• Publisher : World Scientific
• Release Date : 2000-06-30
• Total pages : 468
• ISBN : 0128043636

Summary : This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory — namely, to establish existence theorems and to build ...

## Spline Solutions of Higher Order Boundary Value Problems • Author : Parcha Kalyani
• Publisher : GRIN Verlag
• Release Date : 2020-06-09
• Total pages : 122
• ISBN : 0128043636

Summary : Doctoral Thesis / Dissertation from the year 2014 in the subject Mathematics - Applied Mathematics, , language: English, abstract: Some of the problems of real world phenomena can be described by differential equations involving the ordinary or partial derivatives with some initial or boundary conditions. To interpret the physical behavior of the problem ...

## Solving Ordinary and Partial Boundary Value Problems in Science and Engineering • Author : Karel Rektorys
• Publisher : CRC Press
• Release Date : 1998-10-20
• Total pages : 224
• ISBN : 0128043636

Summary : This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson ...

## Analytical Solutions and Computer Programs for Hydraulic Interaction of Stream aquifer Systems • Author : Paul M. Barlow,A. F. Moench
• Publisher : Unknown
• Release Date : 1998
• Total pages : 85
• ISBN : 0128043636

Summary : Read online Analytical Solutions and Computer Programs for Hydraulic Interaction of Stream aquifer Systems written by Paul M. Barlow,A. F. Moench, published by which was released on 1998. Download full Analytical Solutions and Computer Programs for Hydraulic Interaction of Stream aquifer Systems Books now! Available in PDF, ePub and Kindle....

## Numerical Solution of Two Point Boundary Value Problems • Author : Herbert B. Keller
• Publisher : SIAM
• Release Date : 1976
• Total pages : 59
• ISBN : 0128043636

Summary : Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems....

## Scientific and Technical Aerospace Reports • Author : Anonim
• Publisher : Unknown
• Release Date : 1970
• Total pages : 212
• ISBN : 0128043636

Summary : Read online Scientific and Technical Aerospace Reports written by , published by which was released on 1970. Download full Scientific and Technical Aerospace Reports Books now! Available in PDF, ePub and Kindle....

## Finite Difference Methods Theory and Applications • Author : Ivan Dimov,István Faragó,Lubin Vulkov
• Publisher : Springer
• Release Date : 2019-01-28
• Total pages : 688
• ISBN : 0128043636

Summary : This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting ...

## Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field • Author : Gehan Anthonys
• Publisher : Morgan & Claypool Publishers
• Release Date : 2018-02-01
• Total pages : 118
• ISBN : 0128043636

Summary : The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the ...

## Boundary Value Problems for Partial Differential Equations and Applications in Electrodynamics • Author : N E Tovmasyan
• Publisher : World Scientific
• Release Date : 1994-02-08
• Total pages : 244
• ISBN : 0128043636

Summary : The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed. A new approach to the investigation of electromagnetic fields is ...

## Nonlinear Ordinary Differential Equations • Author : Martin Hermann,Masoud Saravi
• Publisher : Springer
• Release Date : 2016-05-09
• Total pages : 310
• ISBN : 0128043636

Summary : The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to ...

## Electromagnetic Wave Theory for Boundary Value Problems • Author : Hyo J. Eom
• Publisher : Springer Science & Business Media
• Release Date : 2013-06-29
• Total pages : 314
• ISBN : 0128043636

Summary : Electromagnetic wave theory is based on Maxwell's equations, and electromagnetic boundary-value problems must be solved to understand electromagnetic scattering, propagation, and radiation. Electromagnetic theory finds practical applications in wireless telecommunications and microwave engineering. This book is written as a text for a two-semester graduate course on electromagnetic wave theory. As ...

## Hodge Decomposition A Method for Solving Boundary Value Problems • Author : Günter Schwarz
• Publisher : Springer
• Release Date : 2006-11-14
• Total pages : 164
• ISBN : 0128043636

Summary : Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form ...

## Advanced Engineering Mathematics with Mathematica • Author : Edward B. Magrab
• Publisher : CRC Press
• Release Date : 2020-02-26
• Total pages : 529
• ISBN : 0128043636

Summary : Advanced Engineering Mathematics with Mathematica® presents advanced analytical solution methods that are used to solve boundary-value problems in engineering and integrates these methods with Mathematica® procedures. It emphasizes the Sturm–Liouville system and the generation and application of orthogonal functions, which are used by the separation of variables method to ...

## Solving Frontier Problems of Physics The Decomposition Method • Author : G. Adomian
• Publisher : Springer Science & Business Media
• Release Date : 2013-06-29
• Total pages : 354
• ISBN : 0128043636

Summary : The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic ...