Homotopy perturbation method for fractional Fornberg-Whitham equation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Finite Elements in Analysis and Design
Computers & Mathematics with Applications
Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation
Calcolo: a quarterly on numerical analysis and theory of computation
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In this study, we present a framework to obtain analytical approximate solutions to the nonlinear fractional convection-diffusion equation. The fractional derivative is considered in the Caputo sense. The applications of the homotopy perturbation method were extended to derive analytical solutions in the form of a series with easily computed terms for this equation. Some examples are tested and the results reveal that the technique introduced here is very effective and convenient for solving nonlinear partial differential equations of fractional order.