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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Vydáno v:Open mathematics (Warsaw, Poland) Ročník 18; číslo 1; s. 738 - 748
Hlavní autoři: Ahmad, Hijaz, Khan, Tufail A., Yao, Shao-Wen
Médium: Journal Article
Jazyk:angličtina
Vydáno: Warsaw De Gruyter 01.01.2020
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Témata:
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
ISSN:2391-5455, 2391-5455
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0036