Wang-Ball Polynomials for the Numerical Solution of Singular Ordinary Differential Equations

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 remove...

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Bibliographic Details
Published inIraqi journal of science pp. 941 - 949
Main Authors Ahmed Kherd, Azizan Saaban, Ibrahim Eskander Ibrahim Fadhel
Format Journal Article
LanguageEnglish
Published 30.03.2021
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Summary: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.
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2021.62.3.24