摘要

This exploration concerns the numerical solution of degenerate singular reaction diffusion equations. The nonlinear partial differential equations are introduced by H. Kawarada, and studied and analyzed extensively by Professor C. Y. Chan and collaborators. Remarkable theory and applications are accomplished. Based on these, this paper revisits and reevaluates some of the most fascinating properties of Kawarada equation solutions through advanced numerical computations. The significance of the latest numerical methods constructed for solving these legendary nonlinear singular problems are also reaccessed.