Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method

• Published in: International journal of numerical methods for heat & fluid flow Vol. 30; no. 11; pp. 4711 - 4733
• Main Author: Abu Arqub, Omar
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 15.10.2020; Emerald Group Publishing Limited
• Subjects: Algorithms; Computational fluid dynamics; Differential equations; Fluid flow; Fractional calculus; Hilbert space; Infinite series; Kernels; Mathematical functions; Mathematical models; Multiphase flow; Partial differential equations; Physics; Simulation; Time-fractional partial differential equations; Reproducing kernel method; Robin functions types; Tricomi equation; Keldysh equation

Purpose The subject of the fractional calculus theory has gained considerable popularity and importance due to their attractive applications in widespread fields of physics and engineering. The purpose of this paper is to present results on the numerical simulation for time-fractional partial differ...