Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 22, Issue 3-4, Pages 512-525Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615531211215792
Keywords
Flow; Differential equations; Foams; Homotopy perturbation method; Variational iteration method; Caputo fractional derivative; Fractional differential equations; Foam drainage equation
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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.
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