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Entropy 2016, 18(6), 206; doi:10.3390/e18060206

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

1
Department of Mathematics, Jagan Nath University, Jaipur 303901, India
2
Department of Mathematics, JECRC University, Jaipur 303905, India
3
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, Spain
4
Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Received: 13 April 2016 / Revised: 12 May 2016 / Accepted: 23 May 2016 / Published: 25 May 2016
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory II)
View Full-Text   |   Download PDF [204 KB, uploaded 25 May 2016]

Abstract

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. View Full-Text
Keywords: Tricomi equation; fractal transonic flow; local fractional derivative; homotopy perturbation method; local fractional Sumudu transform method Tricomi equation; fractal transonic flow; local fractional derivative; homotopy perturbation method; local fractional Sumudu transform method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Singh, J.; Kumar, D.; Nieto, J.J. A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow. Entropy 2016, 18, 206.

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