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Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods

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Abstract

Boundary value problems for loaded ordinary and partial differential equations are considered. A priori bounds are obtained for solutions to differential and difference equations. These bounds imply the stability and convergence of difference schemes for the equations under consideration.

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Authors and Affiliations

  1. Kabardino-Balkar State University, Institute for Problems of Information Science and Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. Chernyshevskogo 173, Nal’chik, 360004, Russia

    A. A. Alikhanov, A. M. Berezgov & M. X. Shkhanukov-Lafishev

Authors
  1. A. A. Alikhanov
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  2. A. M. Berezgov
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  3. M. X. Shkhanukov-Lafishev
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Correspondence to A. A. Alikhanov.

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Original Russian Text © A.A. Alikhanov, A.M. Berezgov, M.X. Shkhanukov-Lafishev, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 9, pp. 1619–1628.

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Alikhanov, A.A., Berezgov, A.M. & Shkhanukov-Lafishev, M.X. Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods. Comput. Math. and Math. Phys. 48, 1581–1590 (2008). https://doi.org/10.1134/S096554250809008X

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  • DOI: https://doi.org/10.1134/S096554250809008X

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