Abstract:
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.
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