Open AccessWang-Ball Polynomials for the Numerical Solution of Singular Ordinary Differential Equations
Author(s) -
Ahmed Kherd,
Azizan Saaban,
Ibrahim Eskander Ibrahim Fadhel
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.3.24
Subject(s) - ode , ordinary differential equation , mathematics , singularity , l stability , ball (mathematics) , differential equation , mathematical analysis , differential algebraic equation
This paper presents a new numerical method for the solution of ordinary differential equations (ODE). The linear second-order equations considered herein are solved using operational matrices of Wang-Ball Polynomials. By the improvement of the operational matrix, the singularity of the ODE is removed, hence ensuring that a solution is obtained. In order to show the employability of the method, several problems were considered. The results indicate that the method is suitable to obtain accurate solutions.