Stability of Partial Differential Equations by Mahgoub Transform Method

Authors : Harun BİÇER

Pages : 1267-1273

Doi:10.16984/saufenbilder.1142084

View : 18 | Download : 7

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential equation and the error is very small which can be estimated. This study examines Hyers-Ulam and Hyers-Ulam Rassias stability of second order partial differential equations. We present a new method for research of the Hyers-Ulam stability of partial differential equations with the help of the Mahgoub transform. The Mahgoub transform method is practical as a fundamental tool to demonstrate the original result on this study. Finally, we give an example to illustrate main results. Our findings make a contribution to the topic and complete those in the relevant literature.
Keywords : Hyers Ulam Stability, Mahgoub transform, partial differential equation