A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow

Entropy

Juan J. Nieto¹  Devendra Kumar²  Jagdev Singh³ 

[1] Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain;Department of Mathematics, JECRC University, Jaipur 303905, India;Department of Mathematics, Jagan Nath University, Jaipur 303901, India;

关键词: Tricomi equation;    fractal transonic flow;    local fractional derivative;    homotopy perturbation method;    local fractional Sumudu transform method;   

DOI  :  10.3390/e18060206

来源: DOAJ

【 摘 要 】

The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow. The proposed technique provides the results without any transformation of the equation into discrete counterparts or imposing restrictive assumptions and is completely free of round-off errors. The results of the scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate.

【 授权许可】

Unknown