Abstract—In this paper, we have executed the Homotopy
Analysis Method and Modified Trial Equation Method which
has newly been submitted to the literature for obtaining
analytical solution of the nonlinear time-fractional generalized
Burgers equation occuring in various areas of physics,
chemistry, applied sciences, applied mathematics such as
modeling of gas dynamics and traffic flow. Then, we have
formed a table which includes numerical conclusions for
time-fractional generalized Burgers equation. Finally, we have
obtained the 2D and 3D surfaces by means of programming
language Mathematica 9 in order to interpret in the sense of
physical phenomena for analytical solution and approximate
solution which have been obtained.
Index Terms—Nonlinear time-fractional generalized Burgers
equation, homotopy analysis method, modified trial equation
method.
The authors are with the Department of Mathematics, Faculty of Science,
Firat University, Elazig, Turkey (e-mail: hbulut@firat.edu.tr,
yusufpandir@gmail.com, hmbaskonus@gmail.com).
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Cite: Haci Mehmet Baskonus, Hasan Bulut, and Yusuf Pandir, "On the Solution of Nonlinear Time-Fractional
Generalized Burgers Equation by Homotopy Analysis
Method and Modified Trial Equation Method," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 305-309, 2014.
