Journal of Applied and Computational Mechanics
Modified Variational Iteration Technique for the Numerical Solution of Fifth Order KdV-type Equations
Document Type : Research Paper
Authors
1 Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan
2 Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan
3 Faculty of Science and Mathematics, University of Niš, Višegradska 33, Nis 18000, Serbia
4 Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan
Abstract
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.
Keywords
- Korteweg–de Vries equation
- Modification of variational iteration algorithm-I
- Fifth order KdV equation
- Generalized KdV equation
Main Subjects
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