Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

Abstract

This study was conducted to present error analysis of a finite element method for computing the radially symmetric solutions of semilinear heat equations. Particularly, this study establishes optimal order error estimates in $$L^\infty $$ and weighted $$L^2$$ norms, respectively, for the symmetric and nonsymmetric formulation. Some numerical examples are presented to validate the obtained theoretical results.