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Use of self-similar nets in problems with discontinuities in their solutions

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Journal of engineering physics Aims and scope

Abstract

A preliminary transformation of coordinates to bring the equation into a form amenable to finite-difference methods is examined in relation to the heat conduction equation with a singularity in the boundary conditions.

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References

  1. V. K. Saul'ev, Integration of Equations of Parabolic Type by the Method of Nets [in Russian], Fizmatgiz, 1960.

  2. E. A. Volkov, DAN SSSR,155, no. 4, 1964.

  3. E. A. Volkov, DAN SSSR,147, no. 1, 1962.

  4. E. A. Volkov, Zhurn. vychislit. matematiki i matematich. fiziki, 3, no. 1, 1963.

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Ryvkin, V.B., Kondrashov, N.G. Use of self-similar nets in problems with discontinuities in their solutions. Journal of Engineering Physics 11, 128–130 (1966). https://doi.org/10.1007/BF00831269

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  • DOI: https://doi.org/10.1007/BF00831269

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