Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

A splitting approximation for the numerical solution of a self-adjoint quenching problem

Event Name/Location

Joint Mathematics Meetings, Colorado Convention Center

Date Range

January 15-18, 2020

Presentation Date

1-2020

Document Type

Conference Presentation

ORCID ID

0000-0001-7817-4308

Description

Ideal combustion processes are often modelled via nonlinear reaction-diffusion equations with singular forcing terms. Our preliminary work considers the numerical solution of such a partial differential equation problem, where a self-adjoint operator with variable diffusion coefficient is considered. Traditional Peaceman-Rachford-Strang splitting is used for time stepping of the semi-discrete system of equations obtained. Conditions are derived to ensure the monotonicity, positivity, and linear stability of the finite difference method. Simulation experiments are provided to validate our splitting approximation.

Comments

Part of the AMS Special Session on Highly Accurate and Structure-Preserving Numerical Methods for Nonlinear Partial Differential Equations, I

Find in your library

Share

COinS