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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.

international journal of differential equations

A New Numerical Method to Solve Some <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mtext>PDE</mtext> </mrow> <mrow> <mi>s</mi> </mrow> </msub> </math> in the Unit Ball and Comparison with the Finite Element and the Exact Solution

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

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