TY  - JOUR
T1  - A New Approach To Solve Burgers’ Equation Using Runge-Kutta 6th Order Method Based
On Cole-Hopf Transformation
AU - AL-Shimmary, Abbas AU - Kareem Radhi, Sajeda AU - Kassim Hussain, Amina 
JO  - Journal of Engineering and Applied Sciences
VL  - 15
IS  - 10
SP  - 2362
EP  - 2369
PY  - 2020
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2020.2362.2369
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2020.2362.2369
KW  - Nonlinear partial differential equations
KW  -Hopf Cole transformation
KW  -differential transform method
KW  -burger’s equation
KW  -Burger
AB  - 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.
ER  -