Pseudospectral Iterated Method for Differential Equations with Delay Terms

Jodi Mead, Boise State University
Barbara Zubik-Kowal, Boise State University

Abstract

New efficient numerical methods for hyperbolic and parabolic partial differential equations with delay terms are investigated. These equations model a development of cancer cells in human bodies. Our goal is to study numerical methods which can be applied in a parallel computing environment. We apply our new numerical method to the delay partial differential equations and analyse the error of the method. Numerical experiments confirm our theoretical results.