title: Approximate analytical solutions of the regularized long wave equation using the optimal homotopy perturbation method.
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.
authors.affiliation: Department of Mathematics, Politehnica University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, Romania.
authors.forename: Constantin
authors.identifier: 0000-0002-7145-9076
authors.initials: C
authors.lastname: Bota
authors.affiliation: Department of Mathematics, Politehnica University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, Romania.
authors.forename: Bogdan
authors.initials: B
authors.lastname: Căruntu
mesh_terms: D055641:Mathematical Concepts