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

Abstract

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.

Keywords

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