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Based on the \u201ctwin-fitting\u201d method, a simple and high accurate treatment for the vertex unknowns is developed and is applied to the nine-point scheme for diffusion problem. Numerical experiments show that the resulting nine-point scheme is high accurate for diffusion problems with discontinuous diffusion coefficients on distorted meshes.<\/jats:p>","DOI":"10.3233\/jifs-219001","type":"journal-article","created":{"date-parts":[[2021,5,18]],"date-time":"2021-05-18T13:41:59Z","timestamp":1621345319000},"page":"5167-5172","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A simple and high accurate finite volume scheme for diffusion equations"],"prefix":"10.1177","volume":"41","author":[{"given":"Zhucui","family":"Jing","sequence":"first","affiliation":[{"name":"School of Economics and Management, Beijing Jiaotong University, Beijing, P. R. 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