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Projection method for discretization of boundary-value problems for a fourth-order ordinary differential equation

  • Numerical Methods, Investigation and Solution of Equations
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Abstract

The projection method is applied to construct discrete models of boundary-value problems for a fourth-order ordinary differential equation in which the only unknowns are the solution values.

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References

  1. A. A. Samarskii and V. B. Andreev, Difference Methods for Elliptic Equations [in Russian], Moscow (1976).

  2. Hao Shou, "Homogeneous difference schemes for fourth-order equations with discontinuous coefficients," Zh. Vychisl. Mat. Mat. Fiz.,3, No. 5, 841–860 (1963).

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Authors
  1. A. A. Klunnik
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  2. V. G. Prikazchikov
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Additional information

Kiev University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 68, pp. 14–22, 1989.

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Klunnik, A.A., Prikazchikov, V.G. Projection method for discretization of boundary-value problems for a fourth-order ordinary differential equation. J Math Sci 69, 1379–1384 (1994). https://doi.org/10.1007/BF01250579

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  • DOI: https://doi.org/10.1007/BF01250579

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