A Developed Non-Polynomial Spline Method for Solving Fuzzy Partial Differential Equations

Ahmed Hanoon Abud¹, Laheeb Muhsen Noman¹, Ahmed Bakheet^1,*

¹Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

Emails: ahmedhanoon@uomustansiriyah.edu.iq;  laheeb_muhsen@uomustansiriyah.edu.iq; ahmedbakheet@uomustansiriyah.edu.iq

Abstract

This research introduces a novel approach to the non-polynomial spline dependent method for solving fuzzy partial differential equations. The tensor product of non-polynomial spline functions is derived in order to obtaining a solution to fuzzy partial differential equations, such as fuzzy hyperbolic and parabolic equations. The advantage of this method is that it simplifies the complex procedure that arises from the term of the typical product of a fuzzy number by fuzzy functions. Examples are presented to show that the outcomes of the research indicate that the technique is extremely useful to construct the solution to the desired fuzzy partial differential equations.

Keywords: Fuzzy partial differential equations; Cubic non-polynomial spline; Approximate solution