Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type
Tom 84 / 2004
Annales Polonici Mathematici 84 (2004), 103-119
MSC: Primary 65M12; Secondary 35R10.
DOI: 10.4064/ap84-2-2
Streszczenie
The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.
