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• W1567297543 abstract "In this paper, the novel hybrid finite difference type Crank-Nicolson scheme with the aid of shifted Grunwald estimate is proposed to solve fractional partial differential equations. Consistency of the proposed method is confirmed using fractional Taylor’s expansion. Error analysis and properties of the scheme are proved. It is proved that the truncation error for this scheme is of the order of the fractional. Stability and convergence of the proposed method is proved. The exact solution is obtained via two-steps Adomian decomposition method. Companions are made between this proposed scheme and the closed analytical form solution. Numerical results are given." @default.
• W1567297543 created "2016-06-24" @default.
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• W1567297543 date "2012-02-18" @default.
• W1567297543 modified "2023-09-24" @default.
• W1567297543 title "Numerical Solution for Fractional Partial Differential Equations Using Crank-Nicolson Method with Shifted Grünwald Estimate" @default.
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• W1567297543 doi "https://doi.org/10.2004/wjst.v9i4.240" @default.
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