Analytical solution of a fractional diffusion equation by variational iteration method

• Published in: Computers & mathematics with applications (1987) Vol. 57; no. 3; pp. 483 - 487
• Main Author: Das, S.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-02-2009
• Subjects: Analytical approximate solution; Approximation; Computer simulation; Convergence; Diffusion; Fractional diffusion equation; Iterative methods; Mathematical analysis; Mathematical models; Mittag–Leffler function; Variational iteration method; Variational iteration method; Fractional diffusion equation; Analytical approximate solution; Mittag–Leffler function
• ISSN: 0898-1221; 1873-7668
• DOI: 10.1016/j.camwa.2008.09.045

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.