Boundary Value Problems and Approximate Solutions

Authors

  • Venketeswara Rao J Mekelle University Author
  • Gebreslassie Tesfy Mekelle University Author
  • Ataklti Araya Mekelle University Author
  • Daniel Tesfay Mekelle University Author

Keywords:

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

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.

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Published

2024-03-13

Issue

Vol. 4 No. 1 (2012): Momona Ethiopian Journal of Science (MEJS)

Section

Articles

How to Cite

Boundary Value Problems and Approximate Solutions. (2024). Momona Ethiopian Journal of Science (MEJS) , 4(1), 102-114. https://journal.mu.edu.et/index.php/mejs/article/view/109