Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay
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arXiv
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| Format: | Preprint |
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2026
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| author | Mandal, Bankim C. Tomer, Deeksha |
| author_facet | Mandal, Bankim C. Tomer, Deeksha |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay Mandal, Bankim C. Tomer, Deeksha Numerical Analysis Analysis of PDEs 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. |
| title | Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2602.12409 |