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Boundary Value Problems and Approximate Solutions


T Gebreslassie
RJ Venketeswara
A Ataklti
T Daniel

Abstract

In this paper, we discuss about some basic things of boundary value problems. Secondly, we study boundary conditions involving derivatives and obtain finite difference approximations of partial derivatives of boundary value problems. The last section is devoted to determine an approximate solution for boundary value problems using Variational Iteration Method (VIM)
and discuss the basic idea of He’s Variational Iteration Method and its  applications.

Keywords: Boundary value problem, Boundary conditions, Variational Iteration Method, He’s Variational Iteration Method, Finite difference method, Standard 5-point formula, Iteration method, Relaxation method and standard analytic method.


Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X