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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Pushpa Publishing House
2007
|
| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848776704818937856 |
|---|---|
| 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. |
| building | IIUM Repository |
| collection | Online Access |
| 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). |
| first_indexed | 2025-11-14T14:34:20Z |
| format | Article |
| id | iium-6644 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:20Z |
| publishDate | 2007 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | Assessment of decomposition method for linear and nonlinear
fractional differential equations |
| title_sort | assessment of decomposition method for linear and nonlinear
fractional differential equations |
| topic | QA76 Computer software |
| 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 |