An efficient approach for the numerical solution of fifth-order KdV equations

The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations. In order to assess the precision, stability and accuracy of the soluti...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 18; no. 1; pp. 738 - 748
Main Authors Ahmad, Hijaz, Khan, Tufail A., Yao, Shao-Wen
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 22.07.2020
De Gruyter Poland
Subjects
35Q53
Caudrey-Dodd-Gibbon equation
Decomposition
fifth-order KdV equation
Iterative algorithms
Iterative methods
Kawahara equation
Korteweg-de Vries equation
Korteweg-Devries equation
Lax equation
Perturbation
Sawada-Kotera equation
Stability analysis
variational iteration algorithm-II
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Summary:The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations. In order to assess the precision, stability and accuracy of the solutions, five test problems are offered for different types of fifth-order KdV equations. Numerical results are compared with the Adomian decomposition method, Laplace decomposition method, modified Adomian decomposition method and the homotopy perturbation transform method, which reveals that the MVIA-II exceptionally productive, computationally attractive and has more accuracy than the others.
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0036