{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:20Z","timestamp":1740134540217,"version":"3.37.3"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T00:00:00Z","timestamp":1656547200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["A2019209533"],"award-info":[{"award-number":["A2019209533"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2022,6,30]]},"abstract":"<jats:p>Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations. The matrix form of nonlinear heat conduction equation is also obtained. Several numerical examples are provided to valid our schemes.<\/jats:p>","DOI":"10.1155\/2022\/8998193","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:50:06Z","timestamp":1656636606000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6887-7720","authenticated-orcid":true,"given":"Jin","family":"Li","sequence":"first","affiliation":[{"name":"School of Science, Shandong Jianzhu University, Jinan 250101, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.18255\/1818-1015-2016-3-309-316"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.04.015"},{"issue":"4","key":"3","doi-asserted-by":"crossref","first-page":"419","DOI":"10.57262\/ade\/1356651802","article-title":"Error estimate for approximate solutions of a nonlinear convection-diffusion problem","volume":"7","author":"R. 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