Authors : Abbas AL-Shimmary, Sajeda Kareem Radhi and Amina Kassim Hussain
Abstract: It is known that Non linear Partial Differential Equations (NPDEs) play an important role in engineering and applied physical sciences, Burger’s equation has been the center of study for many researchers because of its vast application in physics and engineering problems and is modeled as one types of (NPDEs). There are several methods to solve Burger equation. The main purpose of this paper is to propose a new numerical method by applying the Hopf-Cole Transformation method (H-CT) which converts Burger’s equation into heat equation coupling with Runge-Kutta 6th order method (RK6) and the help of Method of Line (MOL) that transpose the converted heat equation into a simple system of ordinary differential equations, the results were compared with the exact Differential Transform Method (DTM). Finally, this comparative study show the reliability and efficiency of the proposed method throw numerical examples which is closed to the exact solution.
Abbas AL-Shimmary, Sajeda Kareem Radhi and Amina Kassim Hussain, 2020. A New Approach To Solve Burgers’ Equation Using Runge-Kutta 6th Order Method Based On Cole-Hopf Transformation. Journal of Engineering and Applied Sciences, 15: 2362-2369.