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Analytical solution of a fractional diffusion equation by variational iteration method. (English) Zbl 1165.35398
Summary: In the present paper the Analytical approximate solution of a fractional diffusion equation is deduced with the help of powerful Variational Iteration method. By using an initial value, the explicit solutions of the equation for different cases have been derived, which accelerate the rapid convergence of the series solution. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented graphically.
MSC:
35K57Reaction-diffusion equations
26A33Fractional derivatives and integrals (real functions)
35A35Theoretical approximation to solutions of PDE
35C05Solutions of PDE in closed form
65M99Numerical methods for IVP of PDE
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