Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11031564 | Journal of Computational Physics | 2018 | 41 Pages |
Abstract
We study a robust finite difference scheme for integrodifferential kinetic systems of Fokker-Planck type modeling tumor driven blood vessel growth. The scheme is of order one and enjoys positivity features. We analyze stability and convergence properties, and show that soliton-like asymptotic solutions are correctly captured. We also find good agreement with the solution of the original stochastic model from which the deterministic kinetic equations are derived working with ensemble averages. A numerical study clarifies the influence of velocity cut-offs on the solutions for exponentially decaying data.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Luis L. Bonilla, Ana Carpio, Manuel Carretero, Gema Duro, Mihaela Negreanu, Filippo Terragni,