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• W2906882550 abstract "In this paper, we investigate a linearized finite difference scheme for the variable coefficient semi-linear fractional convection-diffusion wave equation with delay. Based on reversible recovery technique, the original problems are transformed into an equivalent variable coefficient semi-linear fractional delay reaction-diffusion equation. Then, the temporal Caputo derivative is discreted by using <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$L_{1}$ </tex-math></inline-formula> approximation and the second-order spatial derivative is approximated by the centered finite difference scheme. The numerical solution can be obtained by an inverse exponential recovery method. By introducing a new weighted norm and applying discrete Gronwall inequality, the solvability, unconditionally stability, and convergence in the sense of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$L_{2}$ </tex-math></inline-formula> - and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$L_{infty }$ </tex-math></inline-formula> - norms are proved rigorously. Finally, we present a numerical example to verify the effectiveness of our algorithm." @default.
• W2906882550 created "2019-01-11" @default.
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• W2906882550 date "2019-01-01" @default.
• W2906882550 modified "2023-10-15" @default.
• W2906882550 title "An Effective Algorithm for Delay Fractional Convection-Diffusion Wave Equation Based on Reversible Exponential Recovery Method" @default.
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• W2906882550 doi "https://doi.org/10.1109/access.2018.2889735" @default.
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