Geodesic
Finite-difference method for solving Tricomi problem for the Lavrent'ev--Bitsadze equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 2, pp. 221-235

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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: equation of mixed type, Tricomi problem, a priori estimate, difference scheme, order of approximation, method of energy inequalities. 
@article{VSGTU_2017_21_2_a1,
     author = {Zh. A. Balkizov and A. A. Sokurov},
     title = {Finite-difference method for solving {Tricomi} problem for the {Lavrent'ev--Bitsadze} equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {221--235},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2017_21_2_a1/}
}
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Zh. A. Balkizov; A. A. Sokurov. Finite-difference method for solving Tricomi problem for the Lavrent'ev--Bitsadze equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 2, pp. 221-235. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_2_a1/