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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 1, 1978 - Issue 1
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Original Articles

A New Finite-Difference Scheme for Parabolic Differential Equations

S. V. Patankar Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota, 55455
&
B. R. Baliga Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota, 55455
Pages 27-37 | Published online: 14 Jul 2010

Citations (11)

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Read on this site (8)

V. A. F. Costa. (2021) On the stability and convergence of numerical solutions. Numerical Heat Transfer, Part B: Fundamentals 79:2, pages 55-69.
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V. A. F. Costa. (2020) Stability of the numerical solution of unsteady heat conduction: A mechanical approach. Numerical Heat Transfer, Part B: Fundamentals 77:6, pages 431-440.
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Parameswaran Anoop, Chakkedath Unnikrishnan, Balachandran Sundar & M. Joseph Chacko. (2015) Thermal Analysis of a Jet Deflector Subjected to Liquid Engine Jet Exhaust in a Static Test. Heat Transfer Engineering 36:4, pages 346-351.
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Kazuhiro Fukuyo. (2005) POWER-SERIES METHOD FOR TWO-DIMENSIONAL HEAT CONDUCTION PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 47:3, pages 239-255.
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Kazuhiro Fukuyo. (2004) FINITE ANALYTIC METHOD BASED ON POWER SERIES EXPANSION FOR UNSTEADY HEAT CONDUCTION PROBLEMS. Numerical Heat Transfer, Part B: Fundamentals 45:4, pages 369-384.
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Shuguang Li. (1988) OPTIMAL EXPONENTIAL DIFFERENCE SCHEME FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS. Numerical Heat Transfer 14:3, pages 357-371.
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Sheng-Yi Lee & Rutherford Aris. (1985) The Distribution of Active ingredients in Supported Catalysts Prepared by Impregnation. Catalysis Reviews 27:2, pages 207-340.
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T. M. Shih. (1982) A LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER. Numerical Heat Transfer 5:4, pages 369-420.
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Articles from other publishers (3)

Neng Ren, Chinnapat Panwisawas, Jun Li, Mingxu Xia, Hongbiao Dong & Jianguo Li. (2021) Solute enrichment induced dendritic fragmentation in directional solidification of nickel-based superalloys. Acta Materialia 215, pages 117043.
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Rudy Bui, Matthieu Labat & Sylvie Lorente. (2019) Impact of the occupancy scenario on the hygrothermal performance of a room. Building and Environment 160, pages 106178.
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Dragoslav L. StefanovicHeinz G. Stefan. (2001) Accurate Two-Dimensional Simulation of Advective-Diffusive-Reactive Transport. Journal of Hydraulic Engineering 127:9, pages 728-737.
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