On a New Reliable Algorithm
An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals; that is, HAM is converted into a hybrid numeri...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/710250 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546515966492672 |
|---|---|
| author | A. K. Alomari M. S. M. Noorani R. Nazar |
| author_facet | A. K. Alomari M. S. M. Noorani R. Nazar |
| author_sort | A. K. Alomari |
| collection | DOAJ |
| description | An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution
of the problem in a sequence of time intervals; that is, HAM is converted into a
hybrid numeric-analytic method called the multistage HAM (MSHAM). Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool
for the nonlinear systems of ordinary differential equations. |
| format | Article |
| id | doaj-art-2ed5238030f54a148d1e3dfe3fa861f7 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-2ed5238030f54a148d1e3dfe3fa861f72025-02-03T06:48:28ZengWileyInternational Journal of Differential Equations1687-96431687-96512009-01-01200910.1155/2009/710250710250On a New Reliable AlgorithmA. K. Alomari0M. S. M. Noorani1R. Nazar2Department of Science, Faculty of Nursing and Sciences, Jerash Private University, 26150 Jerash, JordanSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaAn analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals; that is, HAM is converted into a hybrid numeric-analytic method called the multistage HAM (MSHAM). Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising tool for the nonlinear systems of ordinary differential equations.http://dx.doi.org/10.1155/2009/710250 |
| spellingShingle | A. K. Alomari M. S. M. Noorani R. Nazar On a New Reliable Algorithm International Journal of Differential Equations |
| title | On a New Reliable Algorithm |
| title_full | On a New Reliable Algorithm |
| title_fullStr | On a New Reliable Algorithm |
| title_full_unstemmed | On a New Reliable Algorithm |
| title_short | On a New Reliable Algorithm |
| title_sort | on a new reliable algorithm |
| url | http://dx.doi.org/10.1155/2009/710250 |
| work_keys_str_mv | AT akalomari onanewreliablealgorithm AT msmnoorani onanewreliablealgorithm AT rnazar onanewreliablealgorithm |