Automatic Time-Step Control Technique for Time-Evolutionary Solution of Nonlinear Boundary Value Problems and its Application to Cahn-Hilliard Equation

Abstract

Cahn-Hilliard equation, known as a model equation for the phase separation, is numerically solved by HIDM2D. It is a general-purpose computer code to give the time-evolutionary solution of nonlinear boundary value problems. A new numerical algorithm HIDM or ODE bases on HIDM2D, which is also equipped with an automatic time-step control technique.