Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R^{2}. Part I

Abstract

An algebraic-analytic method for constructing discrete approximations of linear hyperbolic equations based on a generalized d'Alembert formula of the Lytvyn and Riemann expressions for Cauchy data is proposed. The problem is reduced to some special case of the fixed point problem.

Keywords

• algebraic-analytic approximation
• d'Alembert type formula
• Riemann functions
• fixed point problem