Abstract
In this article, we consider the two-level mesh method for nonlinear Fisher’s equation. In the first step, the proposed method is based on the global radial basis function (RBF) method to get the solution on a coarse mesh with step size H, the obtained solution is used in the second step. In the second step, the radial basis function-finite difference (RBF-FD) method is used in space for solving discrete linearized problem on a fine mesh with step size h. The numerical results reveal that the two-level mesh method is very effective.
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