Numerical method of bicharacteristics for hyperbolic partial functional differential equations

被引：0
作者：
Wojciech Czernous
机构：
[1] University of Gdańsk,Institute of Mathematics
来源：
Calcolo | 2009年 / 46卷
关键词：
Initial boundary value problems; Volterra condition; stability and convergence; nonlinear estimates of the Perron type; 35R10; 65M12; 65M25;
D O I：
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摘要：
Classical solutions of mixed problems for first-order partial functional differential equations in several independent variables are approximated in this paper by solutions of a difference problem of Euler type. The mesh for the approximate solutions is obtained by the numerical solution of equations of bicharacteristics. Convergence of explicit difference schemes is proved by consistency and stability arguments. It is assumed that the given functions satisfy nonlinear estimates of Perron type. Differential equations with deviated variables and differential integral equations can be obtained from the general model by specifying the given operators.
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页码：1 / 24
页数：23
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