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Some Finite Difference Methods for Solution of Heat Conduction Problems

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Numerical Solution of Partial Differential Equations

Part of the book series: Nato Advanced Study Institutes Series ((ASIC,volume 2))

Abstract

The intention of this paper is to present some numerical methods for solution of the two-dimensional time-dependent heat conduction equation and to perform a numerical comparison between them both on linear and nonlinear problems.

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References

  1. Richard S. Varga: “Matrix Iterative Analysis”. Prentice-Hall, Inc. (1962).

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  2. William H. Reed, K.P. Hansen: “Finite Difference Techniques for the Solution of the Reactor Kinetics Equations”. MIT-3903-2 MITNE-100 (1969).

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  3. Eugene L. Wachspress: “Iterative Solution of Elliptic Systems”. Prentice-Hall, Inc. (1966).

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  4. A.R. Mitchell: “Computational Methods in Partial Differential Equations”. John Wiley & Sons (1969).

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  5. Walter Rudin: “Principles of Mathematical Analysis”. McGraw-Hill Book Company (1964).

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© 1973 D. Reidel Publishing Company, Dordrecht

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Madsen, E.E., Fladmark, G.E. (1973). Some Finite Difference Methods for Solution of Heat Conduction Problems. In: Gram, J.G. (eds) Numerical Solution of Partial Differential Equations. Nato Advanced Study Institutes Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2672-7_9

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  • DOI: https://doi.org/10.1007/978-94-010-2672-7_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2674-1

  • Online ISBN: 978-94-010-2672-7

  • eBook Packages: Springer Book Archive

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