A continuous solution of solving a class of nonlineartwo point boundary value problem using Adomian decomposition method

I.L. EL-Kalla; A.M. El Mhlawy; Monica Botros

Ain Shams Engineering Journal (Mar 2019)

A continuous solution of solving a class of nonlineartwo point boundary value problem using Adomian decomposition method

I.L. EL-Kalla,
A.M. El Mhlawy,
Monica Botros

Affiliations

I.L. EL-Kalla: Physics and Engineering Mathematics Department, Faculty of Engineering, Mansoura University, P.O. Box 35516, Mansours, Egypt
A.M. El Mhlawy: Engineering Physics and Mathematics Department, Faculty of Engineering, Tanta University, Tanta 31527, Egypt
Monica Botros: Basic Science Department, Faculty of Engineering, Delta University for Science & Technology, P.O. Box 11152, Mansoura, Egypt; Corresponding author.

Journal volume & issue: Vol. 10, no. 1
pp. 211 – 216

Abstract

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In this paper, a modified version of Adomian decomposition method is used to solve a class of nonlinear boundary value problems. It is easy to solve IVP using ADM but there exist some difficulties in solving BVP. But by using our modification of ADM, we solve the BVP by easily and directly method. As well we get a continuous solution of BVP. This technique gives a continuous solution and improves the work done by El-Kalla 2013. Some numerical examples are introduced to verify the efficiency of the new results. Keywords: Adomian decomposition, Boundary value problem, Nonlinear differential equations

Published in Ain Shams Engineering Journal

ISSN: 2090-4479 (Print); 2090-4495 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/ain-shams-engineering-journal/

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