An efficient approach for solution of fractional-order Helmholtz equations
Abstract In this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated. Three problems are solv...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Advances in Difference Equations |
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| Online Access: | https://doi.org/10.1186/s13662-020-03167-x |
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doaj-5527f974f3ac4e4ea3709b305764d15c2021-01-10T12:52:44ZengSpringerOpenAdvances in Difference Equations1687-18472021-01-012021111510.1186/s13662-020-03167-xAn efficient approach for solution of fractional-order Helmholtz equationsNehad Ali Shah0Essam R. El-Zahar1Mona D. Aljoufi2Jae Dong Chung3Informetrics Research Group, Ton Duc Thang UniversityDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz UniversityDepartment of Mathematics, Faculty of Science, University of TabukDepartment of Mechanical Engineering, Sejong UniversityAbstract In this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated. Three problems are solved to validate and demonstrate the efficacy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the results by other techniques. It is shown that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.https://doi.org/10.1186/s13662-020-03167-xElzaki transformHomotopy perturbation methodHelmholtz equationsMittag-Leffler function |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nehad Ali Shah Essam R. El-Zahar Mona D. Aljoufi Jae Dong Chung |
| spellingShingle |
Nehad Ali Shah Essam R. El-Zahar Mona D. Aljoufi Jae Dong Chung An efficient approach for solution of fractional-order Helmholtz equations Advances in Difference Equations Elzaki transform Homotopy perturbation method Helmholtz equations Mittag-Leffler function |
| author_facet |
Nehad Ali Shah Essam R. El-Zahar Mona D. Aljoufi Jae Dong Chung |
| author_sort |
Nehad Ali Shah |
| title |
An efficient approach for solution of fractional-order Helmholtz equations |
| title_short |
An efficient approach for solution of fractional-order Helmholtz equations |
| title_full |
An efficient approach for solution of fractional-order Helmholtz equations |
| title_fullStr |
An efficient approach for solution of fractional-order Helmholtz equations |
| title_full_unstemmed |
An efficient approach for solution of fractional-order Helmholtz equations |
| title_sort |
efficient approach for solution of fractional-order helmholtz equations |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2021-01-01 |
| description |
Abstract In this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated. Three problems are solved to validate and demonstrate the efficacy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the results by other techniques. It is shown that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering. |
| topic |
Elzaki transform Homotopy perturbation method Helmholtz equations Mittag-Leffler function |
| url |
https://doi.org/10.1186/s13662-020-03167-x |
| work_keys_str_mv |
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