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

Autor: Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirovic, Imtiaz Ahmad
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Applied and Computational Mechanics, Vol 6, Iss Special Issue, Pp 1220-1227 (2020)
Druh dokumentu: article
ISSN: 2383-4536
DOI: 10.22055/jacm.2020.33305.2197
Popis: 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.
Databáze: Directory of Open Access Journals