On a Finite Differnce Scheme For Blow Up Solutions For The Chipot-Weissler Equation
Houda Hani, Moez Khenissi
TL;DR
This paper develops a finite difference scheme to numerically analyze blow-up solutions of the Chipot-Weissler equation, demonstrating that the scheme accurately captures the blow-up behavior in finite time.
Contribution
The paper introduces a finite difference method that preserves the blow-up properties of the Chipot-Weissler equation, providing a reliable numerical approach for such solutions.
Findings
Numerical solutions blow up in finite time, matching theoretical predictions.
The scheme preserves key properties of the exact solution.
Finite difference method effectively captures blow-up behavior.
Abstract
In this paper, we are interested in the numerical analysis of blow up for the Chipot-Weissler equation with Dirichlet boundary conditions in bounded domain. To approximate the blow up solution, we construct a finite difference scheme and we prove that the numerical solution satisfies the same properties of the exact one and blows up in finite time.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems