Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki (Jun 2017)

Finite-difference method for solving Tricomi problem for the Lavrent’ev-Bitsadze equation

  • Giraslan A Balkizov,
  • Aslan A Sokurov

DOI
https://doi.org/10.14498/vsgtu1534
Journal volume & issue
Vol. 21, no. 2
pp. 221 – 235

Abstract

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In this paper we obtain an a priori estimate for solution of Tricomi problem for the Lavrent’ev-Bitsadze equation, from which the uniqueness of regular solution follows. Presented a numerical finite-difference method for solving the investigated problem. We obtain an a priori estimate for solution of the difference scheme, from which follows the second-order convergence.

Keywords