Pseudospectral Iterated Method for Differential Equations with Delay Terms
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.
Jodi Mead and Barbara Zubik-Kowal. "Pseudospectral Iterated Method for Differential Equations with Delay Terms" Lecture Notes in Computer Science. Springer Berlin / Heidelberg, 2004. 451-458.