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Modified Newton-Raphson method for solving a system of nonlinear equations in problems of complicated heat exchange

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Journal of engineering physics Aims and scope

Abstract

A method is proposed for solving the nonlinear system of equations arising from an algebraic approximation of equations of radiation and convection energy transport.

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Literature cited

  1. V. G. Lisienko, V. V. Volkov, and Yu. K. Malikov, Improvement of Fuel Usage and Control of Heat Exchange in Metallurgical Furnaces [in Russian], Moscow (1988).

  2. A. A. Samarskii and A. V. Gulin, Numerical Methods [in Russian], Moscow (1989).

  3. N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel'kov, Numerical Methods [in Russian], Moscow (1987).

  4. J. C. Sabonnadiere and J. L. Coulomb, Finite Element Method in CAD, Springer-Verlag (1987).

  5. P. M. Gresho, “Time integration and conjugate gradient method for incompressible Navier-Stokes equations,” in: Finite Elements in Water Resources, Proc. 6th International Conference, Lisbon, Portugal-Berlin (1986).

  6. R. Peire and G. D. Teilor, Computational Methods in Problems of Fluid Mechanics [in Russian], Leningrad (1986).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 61, No. 3, pp. 485–492, September, 1991.

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Malikov, Y.K., Lisienko, V.G. & Saplin, A.V. Modified Newton-Raphson method for solving a system of nonlinear equations in problems of complicated heat exchange. Journal of Engineering Physics 61, 1168–1174 (1991). https://doi.org/10.1007/BF00872899

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  • DOI: https://doi.org/10.1007/BF00872899

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