Pseudospectral iterated method for differential equations with delay terms

Published in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2004


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.

Bibtex:
@article{Mead_Zubik_2004,
  title = {Pseudospectral iterated method for differential equations with delay terms},
  journal = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)},
  year = {2004},
  volume = {3039},
  pages = {451-458},
  author = {Mead, J. and Zubik-Kowal, B.}
}