Analytical Solution Methods for Boundary Value Problems

Produk Detail:
  • Author : A.S. Yakimov
  • Publisher : Academic Press
  • Pages : 200 pages
  • ISBN : 0128043636
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Analytical Solution Methods for Boundary Value Problems

Download or Read online Analytical Solution Methods for Boundary Value Problems full in PDF, ePub and kindle. this book written by A.S. Yakimov and published by Academic Press which was released on 13 August 2016 with total page 200 pages. We cannot guarantee that Analytical Solution Methods for Boundary Value Problems book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

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

Numerical Analytic Methods in the Theory of Boundary Value Problems

Numerical Analytic Methods in the Theory of Boundary Value Problems
  • Author : M Ronto,A M Samoilenko
  • Publisher : World Scientific
  • Release : 30 June 2000
GET THIS BOOK Numerical Analytic Methods in the Theory of Boundary Value Problems

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 approximation solutions. They can be used to investigate a wide variety of BVPs. The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with

Boundary Value Problems for Engineers

Boundary Value Problems for Engineers
  • Author : Ali Ümit Keskin
  • Publisher : Springer
  • Release : 19 June 2019
GET THIS BOOK Boundary Value Problems for Engineers

This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist

Electromagnetic Wave Theory for Boundary Value Problems

Electromagnetic Wave Theory for Boundary Value Problems
  • Author : Hyo J. Eom
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOK Electromagnetic Wave Theory for Boundary Value Problems

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 such, Electromagnetic Wave Theory for Boundary-Value Problems is intended to help students enhance analytic skills by solving pertinent boundary-value problems. In particular, the techniques of Fourier transform, mode matching, and

Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

Solving Ordinary and Partial Boundary Value Problems in Science and Engineering
  • Author : Karel Rektorys
  • Publisher : CRC Press
  • Release : 20 October 1998
GET THIS BOOK Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

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 equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating

Spline Solutions of Higher Order Boundary Value Problems

Spline Solutions of Higher Order Boundary Value Problems
  • Author : Parcha Kalyani
  • Publisher : GRIN Verlag
  • Release : 09 June 2020
GET THIS BOOK Spline Solutions of Higher Order Boundary Value Problems

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 it is necessary to know the solution of the differential equation. Unfortunately, it is not possible to solve some of the differential equations whether they are ordinary or partial with

A First Course in Ordinary Differential Equations

A First Course in Ordinary Differential Equations
  • Author : Martin Hermann,Masoud Saravi
  • Publisher : Springer Science & Business
  • Release : 22 April 2014
GET THIS BOOK A First Course in Ordinary Differential Equations

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear

The Fast Solution of Boundary Integral Equations

The Fast Solution of Boundary Integral Equations
  • Author : Sergej Rjasanow,Olaf Steinbach
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2007
GET THIS BOOK The Fast Solution of Boundary Integral Equations

This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral equations as well as discussing Galerkin discretisation. All the necessary related stability and error estimates are derived. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given.

Extrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations

Extrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations
  • Author : Georgiĭ Aleksandrovich Kamenskiĭ
  • Publisher : Nova Publishers
  • Release : 18 September 2021
GET THIS BOOK Extrema of Nonlocal Functionals and Boundary Value Problems for Functional Differential Equations

The non-local functional is an integral with the integrand depending on the unknown function at different values of the argument. These types of functionals have different applications in physics, engineering and sciences. The Euler type equations that arise as necessary conditions of extrema of non-local functionals are the functional differential equations. The book is dedicated to systematic study of variational calculus for non-local functionals and to theory of boundary value problems for functional differential equations. There are described different necessary

Numerical analytic Methods in the Theory of Boundary value Problems

Numerical analytic Methods in the Theory of Boundary value Problems
  • Author : Nikola? Iosifovich Ronto,Anatoli? Mikha?lovich Samo?lenko
  • Publisher : World Scientific
  • Release : 18 September 2021
GET THIS BOOK Numerical analytic Methods in the Theory of Boundary value Problems

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 approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with

Solving Nonlinear Boundary Value Problems Using the Homotopy Analysis Method

Solving Nonlinear Boundary Value Problems Using the Homotopy Analysis Method
  • Author : Ghada Ayed Janem
  • Publisher : Unknown
  • Release : 18 September 2021
GET THIS BOOK Solving Nonlinear Boundary Value Problems Using the Homotopy Analysis Method

Analytical solutions of differential equations are very important for all researchers from different discipline. Obtaining such solutions is difficult in most cases, especially if the differential equation is nonlinear. One of the mostly used methods are the series methods, where the solution is represented as an infinite series. Different methods are available to evaluate the terms of this series. These methods include the well-known Taylor series method, the Adomian decomposition method, the Homotopy iteration method, and the Homotopy analysis method.

Differential Equation Solutions with MATLAB

Differential Equation Solutions with MATLAB
  • Author : Dingyü Xue
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 06 April 2020
GET THIS BOOK Differential Equation Solutions with MATLAB

This book focuses the solutions of differential equations with MATLAB. Analytical solutions of differential equations are explored first, followed by the numerical solutions of different types of ordinary differential equations (ODEs), as well as the universal block diagram based schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.

Numerical Methods in Engineering Science

Numerical Methods in Engineering   Science
  • Author : Graham de Vahl Davis
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Numerical Methods in Engineering Science

This book is designed for an introductory course in numerical methods for students of engineering and science at universities and colleges of advanced education. It is an outgrowth of a course of lectures and tutorials (problem solving sessions) which the author has given for a number of years at the University of New South Wales and elsewhere. The course is normally taught at the rate of 1i hours per week throughout an academic year (28 weeks). It has occasionally been given

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Solving Nonlinear Partial Differential Equations with Maple and Mathematica
  • Author : Inna Shingareva,Carlos Lizárraga-Celaya
  • Publisher : Springer Science & Business Media
  • Release : 24 July 2011
GET THIS BOOK Solving Nonlinear Partial Differential Equations with Maple and Mathematica

The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results