@Article{IJNAM-5-3,
author = {Pelovska, Galena},
title = {An Improved Explicit Scheme for Age-Dependent Population Models with Spatial Diffusion},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {3},
pages = {466--490},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-822},
url = {https://global-sci.com/article/83720/an-improved-explicit-scheme-for-age-dependent-population-models-with-spatial-diffusion}
}