A local meshless method based on the finite collocation and local integral equations method for delay PDEs

Abstract

A local meshless method based on the finite collocation, local radial basis function (RBF) and MLPG method is proposed for solving the 2D Delay partial differential equations. In fact, instead of collocation of governing equations in the finite collocation method, we propose the use of local weak form of governing equations on the local stencils. The method is used for the numerical solutions of the 2D delay partial differential equations (PDEs). Two delay and one nonlinear multidelay parabolic PDEs are solved as test problems and the comparisons of the results reveal the effectiveness of the method.