Assessment of decomposition method for linear and nonlinear fractional differential equations

The solutions of linear and nonlinear fractional differential equations (FDEs) are considered in this paper. The Adomian decomposition method (ADM) is applied to obtain exact and approximate solutions of the FDEs. The approximate solutions are in terms of rapidly convergent infinite series with easi...

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Main Authors: Abdulaziz, O., Hashim, Ishak, Chowdhury, Md. Sazzad Hossien, Zulkifle, A. K.
Format: Article
Language:English
Published: Pushpa Publishing House 2007
Subjects:
Online Access:http://irep.iium.edu.my/6644/
http://irep.iium.edu.my/6644/
http://irep.iium.edu.my/6644/1/Assessment_of_decomposition_method_for_linear_and_nonlinear_fractional_differential_equations.pdf
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spelling iium-66442013-07-18T01:59:38Z http://irep.iium.edu.my/6644/ Assessment of decomposition method for linear and nonlinear fractional differential equations Abdulaziz, O. Hashim, Ishak Chowdhury, Md. Sazzad Hossien Zulkifle, A. K. QA76 Computer software The solutions of linear and nonlinear fractional differential equations (FDEs) are considered in this paper. The Adomian decomposition method (ADM) is applied to obtain exact and approximate solutions of the FDEs. The approximate solutions are in terms of rapidly convergent infinite series with easily computable terms. The accuracy of the approximate decomposition solutions is examined against the quadratic numerical scheme (QNS). Pushpa Publishing House 2007-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6644/1/Assessment_of_decomposition_method_for_linear_and_nonlinear_fractional_differential_equations.pdf Abdulaziz, O. and Hashim, Ishak and Chowdhury, Md. Sazzad Hossien and Zulkifle, A. K. (2007) Assessment of decomposition method for linear and nonlinear fractional differential equations. Far East Journal of Applied Mathematical Sciences (FJAMS), 28 (1). pp. 95-112. ISSN 0972-0960 http://www.pphmj.com/abstract/2533.htm
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
Abdulaziz, O.
Hashim, Ishak
Chowdhury, Md. Sazzad Hossien
Zulkifle, A. K.
Assessment of decomposition method for linear and nonlinear fractional differential equations
description The solutions of linear and nonlinear fractional differential equations (FDEs) are considered in this paper. The Adomian decomposition method (ADM) is applied to obtain exact and approximate solutions of the FDEs. The approximate solutions are in terms of rapidly convergent infinite series with easily computable terms. The accuracy of the approximate decomposition solutions is examined against the quadratic numerical scheme (QNS).
format Article
author Abdulaziz, O.
Hashim, Ishak
Chowdhury, Md. Sazzad Hossien
Zulkifle, A. K.
author_facet Abdulaziz, O.
Hashim, Ishak
Chowdhury, Md. Sazzad Hossien
Zulkifle, A. K.
author_sort Abdulaziz, O.
title Assessment of decomposition method for linear and nonlinear fractional differential equations
title_short Assessment of decomposition method for linear and nonlinear fractional differential equations
title_full Assessment of decomposition method for linear and nonlinear fractional differential equations
title_fullStr Assessment of decomposition method for linear and nonlinear fractional differential equations
title_full_unstemmed Assessment of decomposition method for linear and nonlinear fractional differential equations
title_sort assessment of decomposition method for linear and nonlinear fractional differential equations
publisher Pushpa Publishing House
publishDate 2007
url http://irep.iium.edu.my/6644/
http://irep.iium.edu.my/6644/
http://irep.iium.edu.my/6644/1/Assessment_of_decomposition_method_for_linear_and_nonlinear_fractional_differential_equations.pdf
first_indexed 2023-09-18T20:15:42Z
last_indexed 2023-09-18T20:15:42Z
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