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In this paper, the Crank-Nicolson method is proposed for solving a class of variable-coefficient tempered-FDEs (1).
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This algorithm was employed for solving a class of variable-order fractional differential equations.
Meanwhile, in [16] the authors discussed the tau approach for solving a class of NFDEs, and the solution was expanded by a shifted Legendre polynomial, and the unknown expansion coefficients were obtained by a segmented Lanczos-tau formulation.
Our main contributions to this paper are to derive a Crank-Nicolson scheme for a class of variable-coefficient tempered-FDEs and to illustrate the stability and convergence of this scheme.
A Crank-Nicolson scheme catering to solving initial-boundary value problems of a class of variable-coefficient tempered fractional diffusion equations is proposed.
Therefore, it is the aim of this paper to derive a class of variable-coefficient tempered fractional diffusion models.
In this paper, we examine a practical numerical method which is second-order accurate in time and in space to solve a class of initial-boundary value fractional diffusive equations with variable coefficients on a finite domain.
Bhrawy and Baleanu [37] proposed the Legendre-Gauss-Lobatto collocation scheme for solving the SFDEs with variable coefficients.
This paper is devoted to the existence and globally exponential stability of almost periodic solution for a class of Cohen Grossberg neural networks with variable coefficients.
In [23], Bhrawy and Zaky used fractional-order Jacobi tau method for a class of time-fractional PDEs with variable Coefficients.
The theory for solving such equations is very full for equations with constant coefficients [1, 2], but fully incomplete for the case of variable coefficients.
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