科研之友
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摘要
In the paper, a linearized compact finite difference scheme is presented for the semilinear fractional delay convection-reaction-diffusion equation. Firstly, the equation is transformed into an equivalent semilinear fractional delay reaction-diffusion equation by using a special transformation. Then, the temporal Caputo derivative is discreted by using L-1 approximation and the second-order spatial derivative is approximated by the compact finite difference scheme. The solvability, unconditional stability, and convergence in the sense of L-2- and L-infinity-norms are proved rigorously. Finally, numerical examples are carried out extensively to support our theoretical analysis.
