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.