Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Abstract

In this paper, we present the application of local fractional methods in combination with the local fractional Sumudu transform (LFST) for a local fractional Tricomi equation (LFTE). The numerical simulations for obtained results are presented for the local fractional Tricomi equation with different initial conditions on the Cantor set. The computational approach shows that the implemented methods are very impressive to derive solutions for a local fractional Tricomi equation. Moreover, the solutions obtained by using these schemes are in quite good agreement with already computed solutions in the literature.