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• W2045540059 abstract "We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>. This approach is based on the finite difference in time and the global sinc collocation in space. By utilizing the collocation technique and some properties of the sinc functions, the problem is reduced to the solution of a system of linear algebraic equations at each time step. Stability and convergence of the proposed method are rigorously analyzed. The numerical solution is of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mn>3</mml:mn><mml:mo>-</mml:mo><mml:mi>α</mml:mi></mml:math>order accuracy in time and exponential rate of convergence in space. Numerical experiments demonstrate the validity of the obtained method and support the obtained theoretical results." @default.
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• W2045540059 date "2014-01-01" @default.
• W2045540059 modified "2023-10-15" @default.
• W2045540059 title "Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations" @default.
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• W2045540059 doi "https://doi.org/10.1155/2014/536030" @default.
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