Title of article :
Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method
Author/Authors :
Bonyadi ، Samira Mathematics Department - Islamic Azad University, Tabriz Branch , Mahmoudi ، Yaghoub Mathematics Department - Islamic Azad University, Tabriz Branch , Lakestani ، Mehrdad Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Tabriz , Jahangiri rad ، Mohammad Mathematics Department - Islamic Azad University, Tabriz Branch
Abstract :
The paper reports a spectral method for generating an approximate solution for the space-time fractional PDEs with variable coefficients based on the spectral shifted Jacobi collocation method in conjunction with the shifted Jacobi operational matrix of fractional derivatives. The spectral collocation method investigates both temporal and spatial discretizations. By applying the shifted Jacobi collocation method, the problem reduces to a system of algebraic equations, which greatly simplifies the problem. Numerical results are given to establish the validity and accuracy of the presented procedure for space-time fractional PDE.
Keywords :
Jacobi polynomials , Operational matrices , Space , time PDEs , Collocation method
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
