Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition

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

On the Stability of Locally One-dimensional Method for Two-dimensional Parabolic Equation with Nonlocal Integral Conditions

We construct and analyse a locally one-dimensional method (finite-difference scheme) for a two-dimensional parabolic equation with nonlocal integral conditions. The main attention is paid to the stability of the method. We apply the stability analysis technique which is based on the investigation of the spectral structure of the transition matrix of a finite-difference scheme and demonstrate th...

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

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

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A meshless method for two-dimensional diffusion equation with an integral condition

This paper presents a new approach based on the meshless local Petrov–Galerkin (MLPG) and collocation methods to treat the parabolic partial differential equations with non-classical boundary conditions. In the presented method, the MLPG method is applied to the interior nodes while the meshless collocation method is applied to the nodes on the boundaries, and so the Dirichlet boundary conditio...