Second-order, L0-stable methods for the heat equation with time-dependent boundary conditions

@article{Twizell1996SecondorderLM,
title={Second-order, L0-stable methods for the heat equation with time-dependent boundary conditions},
author={Edward H. Twizell and Abba B. Gumel and M. A. Arigu},
journal={Adv. Comput. Math.},
year={1996},
volume={6},
pages={333-352}
}

A family of second-order, Lo-stable methods is developed and analysed for the numerical solution of the simple heat equation with time-dependent boundary conditions. Methods of the family need only real arithmetic in their implementation. In a series of numerical experiments no oscillations, which are a feature of some results obtained using Ao-stable methods, are observed in the computed solutions. Splitting techniques for firstand secondorder hyperbolic problems are also considered.