Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations

Solving Two-Dimensional Fuzzy Partial Dierential Equation by the Alternating Direction Implicit Method

A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations

Based on the combined compact difference scheme, an alternating direction implicit method is proposed for solving two-dimensional cubic nonlinear Schrödinger equations. The proposed method is sixth-order accurate in space and second-order accurate in time. The linear Fourier analysis method is exploited to study the stability of the proposed method. The efficiency and accuracy of the proposed m...

solving two-dimensional fuzzy partial dierential equation by the alternating direction implicit method

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Three-point combined compact alternating direction implicit difference schemes for two-dimensional time- fractional advection-diffusion equations

This paper is devoted to the discussion of numerical methods for solving twodimensional time-fractional advection-diffusion equations. Two different three-point combined compact alternating direction implicit (CC-ADI) schemes are proposed and then, the original schemes for solving the two-dimensional problems are divided into two separate one-dimensional cases. Local truncation errors are analy...

solving two-dimensional fuzzy partial dierential equation by the alternating direction implicit method