A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

By Ali H. Bhrawy, M. A. Zaky. Journal of Computational Physics, 2015

323 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A novel operational matrix method based on shifted Legendre polynomials for solving second-order boundary value problems involving singular, singularly perturbed and Bratu-type equations (2015, unknown): “Collocation methods [7, 8] have become increasingly popular for solving differential equations, since they are very useful in providing highly accurate solutions to nonlinear differential equations.”
A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients (2016, methodology): “Bhrawy AH, Zaky MA. Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation.”
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems (2017, methodology): “Recently, based on types of orthogonal polynomials, the operational matrix of fractional derivatives has been derived and used to approximate the solution of many types of fractional differential equations (see Doha et al., 2012, 2015; Bhrawy et al., 2014b, 2015a,b; Bhrawy and Zaky, 2015).”