Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay
Numerical Analysis
2026-02-16 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this study, we present the numerical investigation of the Dirichlet-Neumann Waveform Relaxation (DNWR) algorithm applied to multiple subdomains for the reaction-diffusion equation with time delay. Various arrangements of transmission conditions between subdomains are explored and a series of numerical experiments are conducted to evaluate and compare the efficiency and effectiveness of these configurations.
Keywords
Cite
@article{arxiv.2602.12409,
title = {Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay},
author = {Bankim C. Mandal and Deeksha Tomer},
journal= {arXiv preprint arXiv:2602.12409},
year = {2026}
}