A new interpolating mls in mlpg method for heat conduction problem

Abstract

A new interpolating MLS based interpolating MLPG method has been developed for steady state heat conduction problem in two dimension with Dirichlet and Neumann boundary conditions. In context of MLS approximation, a singular weight function is used in the interpolating MLS approximation. The interpolating MLS approximation possess Kronecker delta property which makes easy to impose essential boundary conditions. Three different test functions are tested, since the weight function of the interpolating MLS cannot be used as a test function in the interpolating MLPG method. The new method provides better accuracy, robustness and also saves computational time. © 2018 by the authors of the abstracts.