This paper presents an efficient technique of linearization of the nonlinear convective terms present in engineering problems involving heat and mass transfer and fluid mechanics. From two numerical applications, this technique with a method of high order finite differences is validated by numerical solution of transient nonlinear diffusive convective problem in three dimensions. (C) 2014 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license.
机构:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, TroyDepartment of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy
Fatkullin I.
Hesthaven J.S.
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Division of Applied Mathematics, Brown University, ProvidenceDepartment of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy
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S China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510640, Guangdong, Peoples R ChinaS China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510640, Guangdong, Peoples R China
Kong, Y. D.
Chu, Q. X.
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S China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510640, Guangdong, Peoples R ChinaS China Univ Technol, Sch Elect & Informat Engn, Guangzhou 510640, Guangdong, Peoples R China