American Journal of Mathematical Analysis
ISSN (Print): 2333-8490 ISSN (Online): 2333-8431 Website: http://www.sciepub.com/journal/ajma Editor-in-chief: Grigori Rozenblum
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American Journal of Mathematical Analysis. 2014, 2(3), 45-49
DOI: 10.12691/ajma-2-3-3
Open AccessArticle

He-Laplace Method for the Solution of Two-point Boundary Value Problems

Hradyesh Kumar Mishra1,

1Department of Mathematics, Jaypee University of Engineering & Technology, Guna-473226(M.P), India

Pub. Date: July 04, 2014

Cite this paper:
Hradyesh Kumar Mishra. He-Laplace Method for the Solution of Two-point Boundary Value Problems. American Journal of Mathematical Analysis. 2014; 2(3):45-49. doi: 10.12691/ajma-2-3-3

Abstract

The boundary value problems of ordinary differential equations play an important role in many fields. Here, we implement the He-Laplace method for the solution of linear and nonlinear two-point boundary value problems. The aim of this paper is to compare the performance of the He-Laplace method with shooting method. As a result, for the same number of terms, our method provides relatively more accurate results with rapid convergence than other methods.

Keywords:
two-point boundary value problems laplace transform homotopy perturbation method shooting method

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