A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. (English) Zbl 1307.65142

Merdan, Mehmet

Appl. Math. Modelling 37, No. 6, 4224-4231 (2013).

Summary: The fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. Numerical results showed the FVIM is powerful, reliable and effective method when applied strongly nonlinear equations with modified Riemann-Liouville derivative.

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:

fractional variational iteration method; time-fractional Swift-Hohenberg (S-H); Riemann-Liouville derivative