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2, a compact difference scheme is given.
In this paper, we derive and analyse a compact difference scheme for a distributed-order time-fractional diffusion-wave equation.
Ren et al. [25] proposed a compact difference scheme for this problem where the convergence order (O tau^{2-alpha }+h^{4})) was O tau^{2-alpha
This equation is approximated by a multi-term fractional diffusion-wave equation, which is then solved by a compact difference scheme.
The patent is titled "Difference extraction between two versions of data-tables containing intra-references" and covers a method for generating a compact difference result between an old and a new program.
Based on this idea, Wang and Vong [19] proposed a second order accuracy formula to approximate the time-fractional derivative and a compact difference scheme was established for solving the modified anomalous fractional sub-diffusion equation.
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To demonstrate the accuracy and applicability of the proposed method in the present paper, four numerical examples are carried out by the algorithms presented in the previous section with a comparison with a linearized compact difference scheme [39] in the one-dimensional case.
A linearized compact difference scheme is constructed.
In this paper, we further analyze a combined compact difference (CCD) scheme proposed recently [T.K. Sengupta, V. Lakshmanan, V.V.S.N.
A combined compact difference scheme is developed for non-periodic problems (called NCCD henceforth) that simultaneously evaluates first and second derivatives, improving an existing combined compact difference (CCD) scheme.
We present an EXFMG method combined with a fourth-order compact difference scheme, a bi-quartic Lagrange interpolation and a simple extrapolation technique, to solve the 2D convection diffusion equation.
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