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Modified Variational Iteration Technique for the Numerical Solution of Fifth Order KdV-type Equations | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 16، دوره 6، Special Issue، اسفند 2020، صفحه 1220-1227 اصل مقاله (1.25 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.33305.2197 | ||
| نویسندگان | ||
| Hijaz Ahmad1؛ Tufail A. Khan2؛ Predrag S. Stanimirovic* 3؛ Imtiaz Ahmad4 | ||
| 1Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan | ||
| 2Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan | ||
| 3Faculty of Science and Mathematics, University of Niš, Višegradska 33, Nis 18000, Serbia | ||
| 4Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan | ||
| چکیده | ||
| In this article, a simple and new algorithm is proposed, namely the modified variational iteration algorithm-I (mVIA-I), for obtaining numerical solutions to different types of fifth-order Korteweg de-Vries (KdV) equations. In order to verify the precision, accuracy and stability of the mVIA-I method, generated numerical results are compared with the Laplace decomposition method, Adomian decomposition method, Homotopy perturbation transform method and the modified Adomian decomposition method. Comparison with the mentioned methods reveals that the mVIA-I is computationally attractive, exceptionally productive and achieves better accuracy than the others. | ||
| کلیدواژهها | ||
| Korteweg–de Vries equation؛ Modification of variational iteration algorithm-I؛ Fifth order KdV equation؛ Generalized KdV equation | ||
| مراجع | ||
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