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.

Issue Section:
Research Papers
Keywords:
Local fractional Tricomi equation, local fractional Sumudu transform, local fractional derivative, local fractional Sumudu variational iteration method, nondifferentiable solution, Cantor set
Topics:
Computer simulation, Fractals, Transonic flow, Approximation

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