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Sakar, Mehmet Giyas; Erdogan, Fevzi; Yıldırım, Ahmet

Variational iteration method for the time-fractional Fornberg-Whitham equation. (English) Zbl 1247.65138

Comput. Math. Appl. 63, No. 9, 1382-1388 (2012).
Summary: We present 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 \(\alpha \) are presented graphically.

Cited in 28 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35R11 Fractional partial differential equations
45K05 Integro-partial differential equations

Keywords:

variational iteration method; fractional Fornberg-Whitham equation; Caputo derivative; approximate solution; Lagrange multiplier
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\textit{M. G. Sakar} et al., Comput. Math. Appl. 63, No. 9, 1382--1388 (2012; Zbl 1247.65138)
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References:

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