Modified Variational Iteration Technique for the Numerical ‎Solution of Fifth Order KdV-type Equations

• Published in: Journal of applied and computational mechanics Vol. 6; no. Special Issue; pp. 1220 - 1227
• Main Authors: Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirovic, Imtiaz Ahmad
• Format: Journal Article
• Language: English
• Published: Shahid Chamran University of Ahvaz 01.12.2020
• Subjects: fifth order kdv equation; generalized kdv ‎equation; korteweg–de vries equation; modification of variational iteration algorithm-i
• ISSN: 2383-4536; 2383-4536
• DOI: 10.22055/jacm.2020.33305.2197

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.