Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method. (3rd June 2014)

• Record Type: Journal Article
• Authors: Bota, Constantin; Căruntu, Bogdan
• Other Names: Baleanu D. Academic Editor.; Jafari H. Academic Editor.; Khalique C. M. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-06-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/721865
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results.