Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations
In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA). The hybrid method (proposed) is applied for types of problems where analytical solutions approximate ar...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Tishk International University
2018-12-01
|
| Series: | Eurasian Journal of Science and Engineering |
| Subjects: | |
| Online Access: | http://eajse.org/wp-content/uploads/2015/12/Hybridization-of-Genetic-Algorithm-with-Homotopy-Analysis-Method-for-Solving-Fractional-Partial-Differential-Equations.pdf |
| _version_ | 1797714262916857856 |
|---|---|
| author | Ahmed Entesar Omar Saber Waleed Al-Hayani |
| author_facet | Ahmed Entesar Omar Saber Waleed Al-Hayani |
| author_sort | Ahmed Entesar |
| collection | DOAJ |
| description | In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA). The hybrid method (proposed) is applied for types of problems where analytical solutions approximate are obtained. Numerical experiments are also presented. |
| first_indexed | 2024-03-12T07:48:43Z |
| format | Article |
| id | doaj.art-de4479a0095d49b189339d684ba6e5d6 |
| institution | Directory Open Access Journal |
| issn | 2414-5629 2414-5602 |
| language | English |
| last_indexed | 2024-03-12T07:48:43Z |
| publishDate | 2018-12-01 |
| publisher | Tishk International University |
| record_format | Article |
| series | Eurasian Journal of Science and Engineering |
| spelling | doaj.art-de4479a0095d49b189339d684ba6e5d62023-09-02T20:47:29ZengTishk International UniversityEurasian Journal of Science and Engineering2414-56292414-56022018-12-0142193810.23918/eajse.v4i2p19Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential EquationsAhmed EntesarOmar SaberWaleed Al-HayaniIn this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA). The hybrid method (proposed) is applied for types of problems where analytical solutions approximate are obtained. Numerical experiments are also presented.http://eajse.org/wp-content/uploads/2015/12/Hybridization-of-Genetic-Algorithm-with-Homotopy-Analysis-Method-for-Solving-Fractional-Partial-Differential-Equations.pdfHomotopy Analysis Method (HAM)Genetic Algorithm (GA)Heat Like EquationsWave Like EquationsFractional Calculus |
| spellingShingle | Ahmed Entesar Omar Saber Waleed Al-Hayani Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations Eurasian Journal of Science and Engineering Homotopy Analysis Method (HAM) Genetic Algorithm (GA) Heat Like Equations Wave Like Equations Fractional Calculus |
| title | Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations |
| title_full | Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations |
| title_fullStr | Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations |
| title_full_unstemmed | Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations |
| title_short | Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations |
| title_sort | hybridization of genetic algorithm with homotopy analysis method for solving fractional partial differential equations |
| topic | Homotopy Analysis Method (HAM) Genetic Algorithm (GA) Heat Like Equations Wave Like Equations Fractional Calculus |
| url | http://eajse.org/wp-content/uploads/2015/12/Hybridization-of-Genetic-Algorithm-with-Homotopy-Analysis-Method-for-Solving-Fractional-Partial-Differential-Equations.pdf |
| work_keys_str_mv | AT ahmedentesar hybridizationofgeneticalgorithmwithhomotopyanalysismethodforsolvingfractionalpartialdifferentialequations AT omarsaber hybridizationofgeneticalgorithmwithhomotopyanalysismethodforsolvingfractionalpartialdifferentialequations AT waleedalhayani hybridizationofgeneticalgorithmwithhomotopyanalysismethodforsolvingfractionalpartialdifferentialequations |