Polynomial Integral Transform for Solving Differential Equations

Benedict Barnes

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.

Keywords

polynomial integral transform; polynomial function; kernel; differential equations

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