Meshless analysis of parabolic interface problems

In the current work, meshless methods are proposed to solve two-dimensional interface heat equation having closed interface boundary, in regular and irregular geometry as well as in regular and irregular interface settings. The current work extends applications of the conventional Kansa approach and the modified integrated RBF approach to numerical solution of interface PDE models. Accuracy of the meshless methods is confirmed through numerical experiments in both regular and irregular interface boundaries for a given set of problems. A set of scattered nodes (Halton points) is considered on both sides of the interface. Numerical evidence reveals accurate performance of the meshless methods for different test problems.