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

Issue

Vol. 9 No. 2: (April 2016)

Section

Algebraic Geometry

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How to Cite

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