Global Extrapolation Methods for Fourth Order Parabolic Partial Differential Equations PDF

Keywords

time, space, numerical methods

Abstract

A family of numerical methods is developed for the numerical solution of fourth order parabolic partial differential equations in one space variable with time dependent boundary conditions. The methods arise from a two-step, one parameter family for the numerical solution of systems of second order ordinary differential equations with time dependent source terms. Global extrapolation procedures in time only and in both space and time are discussed