A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators
In this manuscript, we apply a new technique, namely local fractional Laplace variational iteration method (LFVITM) on Helmholtz and coupled Helmholtz equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This met...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Thi-Qar
2019-04-01
|
| Series: | مجلة علوم ذي قار |
| Subjects: | |
| Online Access: | https://www.jsci.utq.edu.iq/index.php/main/article/view/81 |
| _version_ | 1827738364973940736 |
|---|---|
| author | Hassan Kamil Jassim Hasan Ali Naser Alaa Kleef Jiheel |
| author_facet | Hassan Kamil Jassim Hasan Ali Naser Alaa Kleef Jiheel |
| author_sort | Hassan Kamil Jassim |
| collection | DOAJ |
| description | In this manuscript, we apply a new technique, namely local fractional Laplace variational iteration method (LFVITM) on Helmholtz and coupled Helmholtz equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is the combined of the local fractional Laplace transform (LFLT) and variational iteration method (VIM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique. |
| first_indexed | 2024-03-11T02:43:20Z |
| format | Article |
| id | doaj.art-fe2e826a01a04cc3967ad7669bd64b16 |
| institution | Directory Open Access Journal |
| issn | 1991-8690 2709-0256 |
| language | English |
| last_indexed | 2024-03-11T02:43:20Z |
| publishDate | 2019-04-01 |
| publisher | University of Thi-Qar |
| record_format | Article |
| series | مجلة علوم ذي قار |
| spelling | doaj.art-fe2e826a01a04cc3967ad7669bd64b162023-11-18T09:30:15ZengUniversity of Thi-Qarمجلة علوم ذي قار1991-86902709-02562019-04-0164A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional OperatorsHassan Kamil Jassim0Hasan Ali Naser1Alaa Kleef Jiheel2Department of Mathematics/Faculty of Education for Pure Sciences/University of Thi-QarDepartment of Mathematics/Faculty of Education for Pure Sciences/University of Thi-QarDepartment of Mathematics/Faculty of Education for Pure Sciences/University of Thi-QarIn this manuscript, we apply a new technique, namely local fractional Laplace variational iteration method (LFVITM) on Helmholtz and coupled Helmholtz equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is the combined of the local fractional Laplace transform (LFLT) and variational iteration method (VIM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.https://www.jsci.utq.edu.iq/index.php/main/article/view/81Analytical approximate solutionsHelmholtz EquationLocal fractional Laplace variational iteration method |
| spellingShingle | Hassan Kamil Jassim Hasan Ali Naser Alaa Kleef Jiheel A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators مجلة علوم ذي قار Analytical approximate solutions Helmholtz Equation Local fractional Laplace variational iteration method |
| title | A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators |
| title_full | A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators |
| title_fullStr | A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators |
| title_full_unstemmed | A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators |
| title_short | A New Efficient Method for solving Helmholtz and Coupled Helmholtz Equations Involving Local Fractional Operators |
| title_sort | new efficient method for solving helmholtz and coupled helmholtz equations involving local fractional operators |
| topic | Analytical approximate solutions Helmholtz Equation Local fractional Laplace variational iteration method |
| url | https://www.jsci.utq.edu.iq/index.php/main/article/view/81 |
| work_keys_str_mv | AT hassankamiljassim anewefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators AT hasanalinaser anewefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators AT alaakleefjiheel anewefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators AT hassankamiljassim newefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators AT hasanalinaser newefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators AT alaakleefjiheel newefficientmethodforsolvinghelmholtzandcoupledhelmholtzequationsinvolvinglocalfractionaloperators |