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By embedding physical information described by the CDR system in the feedforward neural networks, PINN is trained to approximate the solution of the system without the need of labeled data. The good performance of PINN in solving the forward problem of the nonlinear CDR systems is verified by studying the problems of gas\u2010solid adsorption and autocatalytic reacting flow. For CDR systems with different P\u00e9clet number, PINN can largely eliminate the numerical diffusion and unphysical oscillations in traditional numerical methods caused by high P\u00e9clet number. Meanwhile, the PINN framework is implemented to solve the inverse problem of nonlinear CDR systems and the results show that the unknown parameters can be effectively recognized even with high noisy data. It is concluded that the established PINN algorithm has good accuracy, convergence, and robustness for both the forward and inverse problems of CDR systems.<\/jats:p>","DOI":"10.1155\/2023\/2973249","type":"journal-article","created":{"date-parts":[[2023,8,16]],"date-time":"2023-08-16T16:50:13Z","timestamp":1692204613000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["PINN\u2010CDR: A Neural Network\u2010Based Simulation Tool for Convection\u2010Diffusion\u2010Reaction Systems"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4767-2352","authenticated-orcid":false,"given":"Qingzhi","family":"Hou","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9650-3053","authenticated-orcid":false,"given":"Honghan","family":"Du","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7297-3061","authenticated-orcid":false,"given":"Zewei","family":"Sun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0708-1750","authenticated-orcid":false,"given":"Jianping","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-1492-5108","authenticated-orcid":false,"given":"Xiaojing","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8964-9759","authenticated-orcid":false,"given":"Jianguo","family":"Wei","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2023,8,16]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.3390\/w12092415"},{"key":"e_1_2_9_2_2","doi-asserted-by":"crossref","unstructured":"SchaumA. 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