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

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 metho...

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Vydáno v:	Journal of applied and computational mechanics Ročník 6; číslo Special Issue; s. 1220 - 1227
Hlavní autoři:	Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirovic, Imtiaz Ahmad
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Shahid Chamran University of Ahvaz 01.12.2020
Témata:	fifth order kdv equation generalized kdv ‎equation korteweg–de vries equation modification of variational iteration algorithm-i
ISSN:	2383-4536, 2383-4536
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
ISSN:	2383-4536 2383-4536
DOI:	10.22055/jacm.2020.33305.2197