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

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