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Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation
Institution:1. L. M. F. N., Mathematics Department, University of Setif, Algeria;2. Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey;3. Institute of Space Sciences, P.O. Box, MG-23, R 76900, Magurele-Bucharest, Romania;1. Departamento de Física y Matemáticas, Universidad de Alcalá, Spain;2. Departamento de Automática, Universidad de Alcalá, Spain;1. School of Mathematics and Statistics, Shandong Normal University, Jinan, Shandong, 250358, China;2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China;3. School of Mathematical Sciences, Nankai University, Tianjin, 300071, China;1. Engineering Phys. and Math. Dept., Faculty of Engineering, Cairo Univ., Giza, Egypt;2. National Center of Nuclear Safety and Radiation Control, Atomic Energy Authority, P.O. Box 7551, Nasr City 11762, Cairo, Egypt
Abstract:In this paper a novel method based on Walsh function combined with a Chebyshev polynomials of the first kind was applied for the resolution of fractional transport equation in three-dimensions. A specific application of the method is discussed.
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