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...
Saved in:
Published in | Iraqi journal of science pp. 941 - 949 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
30.03.2021
|
Online Access | Get full text |
Cover
Loading…
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 |