Numerical Scheme for Solving Singular Two-Point Boundary Value Problems

Numerical Scheme for Solving Singular Two-Point Boundary Value Problems

Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method i...

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Main Authors: N. Ratib Anakira, A. K. Alomari, I. Hashim
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/468909
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spelling doaj-8eb4fff9749c40b8bd6826aa49ddbbd62020-11-24T21:33:26ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/468909468909Numerical Scheme for Solving Singular Two-Point Boundary Value ProblemsN. Ratib Anakira0A. K. Alomari1I. Hashim2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Hashemite University, 13115 Zarqa, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSingular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method.http://dx.doi.org/10.1155/2013/468909
collection DOAJ
language English
format Article
sources DOAJ
author N. Ratib Anakira
A. K. Alomari
I. Hashim
spellingShingle N. Ratib Anakira
A. K. Alomari
I. Hashim
Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
Journal of Applied Mathematics
author_facet N. Ratib Anakira
A. K. Alomari
I. Hashim
author_sort N. Ratib Anakira
title Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
title_short Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
title_full Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
title_fullStr Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
title_full_unstemmed Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
title_sort numerical scheme for solving singular two-point boundary value problems
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method.
url http://dx.doi.org/10.1155/2013/468909
work_keys_str_mv AT nratibanakira numericalschemeforsolvingsingulartwopointboundaryvalueproblems
AT akalomari numericalschemeforsolvingsingulartwopointboundaryvalueproblems
AT ihashim numericalschemeforsolvingsingulartwopointboundaryvalueproblems
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