Polynomial Integral Transform for Solving Differential Equations

Authors

  • Benedict Barnes ANGLICAN UNIVERSITY COLLEGE OF TECHNOLOGY

Keywords:

polynomial integral transform, polynomial function, kernel, differential equations

Abstract

In this paper, we propose Polynomial Integral Transform for solving differential equations. Unlike Laplace Transform and others, the Polynomial Integral Transform solves differential equations with little computational effort as well as time. In addition, the Polynomial Integral Transform entails a polynonmial function as its kernel, which ensures the rapid convergence of the solution to a differential equation. Thus, this method transforms a linear differential equation into an algebraic equation, from which the solution is obtained. Moreover, we show the applicabilities of the Polynomial Integral Transform and its properties.

Author Biography

Benedict Barnes, ANGLICAN UNIVERSITY COLLEGE OF TECHNOLOGY

SCHOOL OF AGRICULTURE AND SOCIAL SCIENCES, LECTURER

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Published

2016-04-30

How to Cite

Barnes, B. (2016). Polynomial Integral Transform for Solving Differential Equations. European Journal of Pure and Applied Mathematics, 9(2), 140–151. Retrieved from https://ejpam.com/index.php/ejpam/article/view/2531

Issue

Vol. 9 No. 2: (April 2016)

Section

Algebraic Geometry

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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