Semianalytical Approach for the Approximate Solution of Delay Differential Equations
In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and performs the solution results in the form of...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/1049561 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558384081010688 |
|---|---|
| author | Xiankang Luo Mustafa Habib Shazia Karim Hanan A. Wahash |
| author_facet | Xiankang Luo Mustafa Habib Shazia Karim Hanan A. Wahash |
| author_sort | Xiankang Luo |
| collection | DOAJ |
| description | In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and performs the solution results in the form of series. The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in the Laplace transform. The main purpose of this scheme is to reduce the less computational work and the error analysis of the problems than others studied in the literature. Some illustrated examples are interpreted to confirm the accuracy of the newly developed scheme. |
| format | Article |
| id | doaj-art-4d1744001a824c88be0fd048d9c8860b |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4d1744001a824c88be0fd048d9c8860b2025-02-03T01:32:34ZengWileyComplexity1099-05262022-01-01202210.1155/2022/1049561Semianalytical Approach for the Approximate Solution of Delay Differential EquationsXiankang Luo0Mustafa Habib1Shazia Karim2Hanan A. Wahash3Faculty of ScienceDepartment of MathematicsDepartment of Basic SciencesDepartment of MathematicsIn this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and performs the solution results in the form of series. The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in the Laplace transform. The main purpose of this scheme is to reduce the less computational work and the error analysis of the problems than others studied in the literature. Some illustrated examples are interpreted to confirm the accuracy of the newly developed scheme.http://dx.doi.org/10.1155/2022/1049561 |
| spellingShingle | Xiankang Luo Mustafa Habib Shazia Karim Hanan A. Wahash Semianalytical Approach for the Approximate Solution of Delay Differential Equations Complexity |
| title | Semianalytical Approach for the Approximate Solution of Delay Differential Equations |
| title_full | Semianalytical Approach for the Approximate Solution of Delay Differential Equations |
| title_fullStr | Semianalytical Approach for the Approximate Solution of Delay Differential Equations |
| title_full_unstemmed | Semianalytical Approach for the Approximate Solution of Delay Differential Equations |
| title_short | Semianalytical Approach for the Approximate Solution of Delay Differential Equations |
| title_sort | semianalytical approach for the approximate solution of delay differential equations |
| url | http://dx.doi.org/10.1155/2022/1049561 |
| work_keys_str_mv | AT xiankangluo semianalyticalapproachfortheapproximatesolutionofdelaydifferentialequations AT mustafahabib semianalyticalapproachfortheapproximatesolutionofdelaydifferentialequations AT shaziakarim semianalyticalapproachfortheapproximatesolutionofdelaydifferentialequations AT hananawahash semianalyticalapproachfortheapproximatesolutionofdelaydifferentialequations |