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

Open Mathematics

Ahmad Hijaz¹  Khan Tufail A.¹  Yao Shao-Wen² 

[1] Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000,Pakistan;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;

关键词: korteweg-de vries equation;    variational iteration algorithm-ii;    fifth-order kdv equation;    caudrey-dodd-gibbon equation;    lax equation;    kawahara equation;    sawada-kotera equation;    35q53;   

DOI  :  10.1515/math-2020-0036

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown