On the stability analysis of weighted average finite difference methods for fractional wave equation
نویسندگان
چکیده
منابع مشابه
On the Stability Analysis of Weighted Average Finite Difference Methods for Fractional Wave Equation
In this article, a numerical study for the fractional wave equations is introduced by using a class of finite difference methods. These methods are extension of the weighted average methods for ordinary (non-fractional) wave equations. The stability analysis of the proposed methods is given by a recently proposed procedure similar to the standard John von Neumann stability analysis. Simple and ...
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A class of finite difference methods for solving fractional diffusion equations is considered. These methods are an extension of the weighted average methods for ordinary (non-fractional) diffusion equations. Their accuracy is of order (Dx) and Dt, except for the fractional version of the Crank–Nicholson method, where the accuracy with respect to the timestep is of order (Dt) if a second-order ...
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ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2012
ISSN: 1847-9677
DOI: 10.7153/fdc-02-02