Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs
A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Nu...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2008
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf |
| _version_ | 1825644810163191808 |
|---|---|
| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| collection | IIUM |
| description | A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear
systems of ODEs. Numerical comparisons between the multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs. |
| first_indexed | 2024-03-05T22:38:18Z |
| format | Article |
| id | oai:generic.eprints.org:6638 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:38:18Z |
| publishDate | 2008 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:generic.eprints.org:66382011-12-01T08:11:16Z http://irep.iium.edu.my/6638/ Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software A new reliable algorithm based on an adaptation of the standard Homotopy-Perturbation Method (HPM) is presented. The HPM is treated,for the first time, as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of linear and nonlinear systems of ODEs. Numerical comparisons between the multistage Homotopy-Perturbation Method (MHPM) and the available exact solution and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for linear and nonlinear systems of ODEs. Elsevier 2008 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2008) Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs. Physics Letters A, 372 . pp. 470-481. ISSN 0375-9601 http://www.journals.elsevier.com/physics-letters-a/ |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title | Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title_full | Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title_fullStr | Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title_full_unstemmed | Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title_short | Adaptation of homotopy-perturbation method for numeric–analytic solution of system of ODEs |
| title_sort | adaptation of homotopy perturbation method for numeric analytic solution of system of odes |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6638/1/Adaptation_of_homotopy-perturbation_method_for_numeric%E2%80%93analytic_solution_of_system_of_ODEs.pdf |
| work_keys_str_mv | AT chowdhurymdsazzadhossien adaptationofhomotopyperturbationmethodfornumericanalyticsolutionofsystemofodes AT hashimishak adaptationofhomotopyperturbationmethodfornumericanalyticsolutionofsystemofodes |