The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation

• Published in: Advances in Mathematical Physics Vol. 2020; no. 2020; pp. 1 - 7
• Main Author: Yang, Lufeng
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 2020; Hindawi; John Wiley & Sons, Inc; Wiley
• Subjects: Algorithms; Analysis; Boundary conditions; Calculus; Differential equations; Laplace transforms; Linear equations; Mathematical functions; Methods; Navier-Stokes equations; Numerical analysis; Ordinary differential equations; Partial differential equations; Spectra; Spectral methods

In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations. First, a time-fractional partial differential equation is transformed into an ordinary differential equation with frequency domain components...