ψ-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

In this paper, we present a numerical method to solve space-time fractional partial differential equations. We introduce psi-shifted Chebyshev polynomials to construct operational matrices of fractional differentiation in the Caputo sense. These operational matrices are then used to find the solution of fractional partial differential equations. The efficiency and applicability of introduced numerical scheme is tested by comparing the proposed numerical approximations with the results obtained from existing numerical methods.

Automated summary

In this paper, a numerical method for solving space-time fractional partial differential equations is presented. The method utilizes psi-shifted Chebyshev polynomials to construct operational matrices for fractional differentiation in the Caputo sense, which are then used to find the solution of the fractional partial differential equations. The efficiency and applicability of the introduced numerical scheme are tested by comparing it with existing numerical methods.