Open AccessSolving Ordinary Differential Equation of Higher Order by Adomian Decomposition Method
Author(s) -
Sumayah Ghaleb Othman,
Yahya Qaid Hasan
Publication year - 2020
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2020/v9i330229
Subject(s) - adomian decomposition method , mathematics , ordinary differential equation , order (exchange) , differential equation , decomposition , decomposition method (queueing theory) , value (mathematics) , mathematical analysis , statistics , ecology , finance , economics , biology
Aims/ Objectives: In this article, we use Adomian Decomposition method (ADM) for solving initial value problems in the higher order ordinary differential equations. Many researchers have used the ADM in order to find convergent as well as exact solutions of different types of equations. Therefore, the ADM is considered as an effective and successful method for solving differential equations. In this paper, we presented some suggested amendments to the ADM by using a new differential operator in order to find solutions for higher order types of equations. We demonstrated the effectiveness of this method through many examples and we find out that we get an approximate solutions using the proposed amendments. We can conclude that the suggested modification of ADM is afftective and produces reliable results.