A New Numerical Method to Solve Some PDE s in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Abstract

In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. +e proposed method is adequate even with the singular right-hand side of type Dirac.