[HTML][HTML] Variational iteration method for the time-fractional Fornberg–Whitham equation

MG Sakar, F Erdogan, A Yıldırım - Computers & Mathematics with …, 2012 - Elsevier
Computers & Mathematics with Applications, 2012Elsevier
This paper presents the approximate analytical solutions to solve the nonlinear Fornberg–
Whitham equation with fractional time derivative. By using initial values, explicit solutions of
the equations are solved by using a reliable algorithm like the variational iteration method.
The fractional derivatives are taken in the Caputo sense. The present method performs
extremely well in terms of efficiency and simplicity. Numerical results for different particular
cases of α are presented graphically.
This paper presents the approximate analytical solutions to solve the nonlinear Fornberg–Whitham equation with fractional time derivative. By using initial values, explicit solutions of the equations are solved by using a reliable algorithm like the variational iteration method. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of α are presented graphically.
Elsevier
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