On　L∞Stability　and　Convergence　of　Fictitious　Domain　Method　for　the　Numerical　Solutionto　Parabolic　Di

On L ∞ Stability and Convergence of Fictitious Domain Method for the Numerical Solution to Parabolic Differential Equation with Derivative Boundary Conditions

This paper investigates some known difference schemes for the numerical solution to parabolic differential equation with derivative boundary conditions by the fictitious domain method.The stability and convergence in L ∞ are proven.