Siamak Banee - Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.
Kamal Shanazari - Department of Mathematics, University of Kurdistan, Sanandaj, IRAN.

We apply a radial basis function (RBF) meshless method to the one dimensional forward-backward heat equation. The physical domain is divided into two subdomains resulting in two standard forward and backward subproblems. An RBF meshfree method is applied to each subproblem assuming a virtual bundary between the subdomains and using an initial approximate solution on the interface. A nite difference scheme is employed for the time derivative and an iterative domain decomposition methodis used to achieve a desired accuracy. Some numerical results will be given to show the effectiveness of the new method.

Forward-backward heat equation, Non-overlapping domain decomposition, Radial basis func-tions, Meshless methods.