This article studies highly dispersive optical solitons without of self-phase modulation effect. The numerical algorithm implemented in this work is Laplace-Adomian decomposition method. Both bright and dark are addressed. error measure for the adopted scheme impressively low.

Resumo. In this work we carried out the modelling, the discretization and the numerical simulation of a vacuum breaker. We present a mathematical model of the multi-physical problem involving mechanical, electrical and electromagnetic phenomena. The finite element method is employed in conjunction with a technique of domain decomposition to solve the mechanical problem and the electrical proble...

This study focuses on the solution of rotationally symmetric Rossler attractor by using adaptive predictor–corrector algorithm (Apc-ABM-method) and fractional Laplace decomposition method (ρ-Laplace DM). Furthermore, a comparison between proposed methods Runge–Kutta Fourth Order (RK4) is made. It discovered that are effective yield solutions identical to approximate produced other methods. Ther...

The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear differential equations. We make use of the meth...

ABSTRACT: The purpose of this study is to apply Laplace Adomian Decomposition Method (LADM) for obtaining the analytical and numerical solutions of a nonlinear differential equation that describes a magnetohydrodynamic (MHD) flow under the stretching sheet problem. By using this method, the similarity solutions of the problem are obtained. For obtaining computational solutions, we combined the ...