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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Thi-Qar
2019-04-01
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| Series: | مجلة علوم ذي قار |
| Subjects: | |
| Online Access: | https://www.jsci.utq.edu.iq/index.php/main/article/view/81 |
| Summary: | 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. |
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| ISSN: | 1991-8690 2709-0256 |