Year: 2008
Author: Galena Pelovska
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 466–490
Abstract
In this work we present three age-structured models with spatial dependence. We introduce an improved explicit method, namely Super-Time-Stepping (STS) developed for parabolic problems and we use its modification for the numerical treatment of our models. We explain how the acceleration scheme can be adapted to the age-dependent models. We prove convergence of the method in case of Dirichlet boundary conditions and we demonstrate the accuracy and the efficiency of the Modified STS comparing it with other numerical algorithms of same or higher order, namely the explicit, fully implicit and Crank-Nicolson standard schemes.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-822
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 466–490
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: population dynamics age-dependence linear diffusion linear and nonlinear models finite difference method numerical acceleration modified super-time-stepping.