NEW INTEGRAL TRANSFORM: OUIDEEN TRANSFORM FOR SOLVING BOTH ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS

الملخص

Abstract

 In this paper, we introduce a new-type integral transform called the Ouideen transform which is a generalization of the Aboodh and the Sumudu integral transforms for solving linear ordinary differential equations with constant coefficients and linear partial differential equations with two variables. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and high accuracy.