Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

This is a preview. Log in through your library . Abstract This is the first in a series of papers in which we discuss a numerical method to solve a certain class of steady state free boundary problems ...

In this paper, we consider a class of k-step linear multistep methods in the form (1.1) of numerical differentiation (N.D.) formulas. For each k, we have required the property of A-stability which ...