Back close

Solving nonlinear differential equations using adomian decomposition method through sagemath

Publisher : International Journal of Innovative Technology and Exploring Engineering

Year : 2019

Abstract : The Adomian decomposition method (ADM) proposed by George Adomian is one of the teachnique to solve linear as well as nonlinear differential equations that are encountered in the field of Physics, Biology and Engineering etc. Computation of Adomian Polynomials for each of the nonlinear terms is a vital activity when solving nonlinear problems using ADM method. In this paper the authors presents a SageMath program for computing Adomian polynomials through integer partition method for single variable case. The SageMath code developed in this paper is felt to be an efficient symbolic computation for generating Adomian polynomials. Also, SageMath package for solving nonlinear differential equations through Adomian decomposition method are presented in this paper. Examples of solving nonlinear ordinary, partial and fractional differential equations are given and the results confirm the applicability of the developed program. © BEIESP.

Admissions Apply Now