Rational approximation solution of the foam drainage equation with time- and space-fractional derivatives

Purpose The purpose of this paper is to implement the variational iteration method and the homotopy perturbation method to give a rational approximation solution of the foam drainage equation with time- and space-fractional derivatives. Design/methodology/approach The fractional derivatives are described in the Caputo sense. In these schemes, the solution takes the form of a convergent series with easily computable components. Findings Numerical examples are given to demonstrate the effectiveness of the present methods. Originality/value Results show that the proposed schemes are very effective and convenient for solving linear and nonlinear fractional differential equations with high accuracy.