Solutions of a class of singular second-order IVPs by homotopy-perturbation method

In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exa...

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Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
Format: Article
Language:English
Published: Elsevier 2007
Subjects:
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http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf
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spelling iium-66552011-12-02T08:09:09Z http://irep.iium.edu.my/6655/ Solutions of a class of singular second-order IVPs by homotopy-perturbation method Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems. Elsevier 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of a class of singular second-order IVPs by homotopy-perturbation method. Physics Letters A, 365. pp. 439-447. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
Solutions of a class of singular second-order IVPs by homotopy-perturbation method
description In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.
format Article
author Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_facet Chowdhury, Md. Sazzad Hossien
Hashim, Ishak
author_sort Chowdhury, Md. Sazzad Hossien
title Solutions of a class of singular second-order IVPs by homotopy-perturbation method
title_short Solutions of a class of singular second-order IVPs by homotopy-perturbation method
title_full Solutions of a class of singular second-order IVPs by homotopy-perturbation method
title_fullStr Solutions of a class of singular second-order IVPs by homotopy-perturbation method
title_full_unstemmed Solutions of a class of singular second-order IVPs by homotopy-perturbation method
title_sort solutions of a class of singular second-order ivps by homotopy-perturbation method
publisher Elsevier
publishDate 2007
url http://irep.iium.edu.my/6655/
http://irep.iium.edu.my/6655/
http://irep.iium.edu.my/6655/1/Solutions_of_a_class_of_singular_second-order_IVPs_by_homotopy-perturbation_method.pdf
first_indexed 2023-09-18T20:15:44Z
last_indexed 2023-09-18T20:15:44Z
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