ON GOURSAT-DARBOUX BOUNDARY-VALUE PROBLEM FOR SYSTEMS OF NON-LINEAR DIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE

被引：2

作者：

Marynets, V. V. ^{[1
]}

Marynets, K. V. ^{[1
]}

机构：

[1] Uzhgorod Natl Univ, Uzhgorod, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2013年 / 14卷 / 03期

关键词：

partial differential equations; Goursat-Darboux boundary-value problem; two-sided method; approximations; PARAMETRIZATION;

D O I：

10.18514/MMN.2013.825

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the modification of the two-sided method with improved characteristics of convergence for approximate integration of boundary-value problem for systems of second-order non-linear differential equations of the hyperbolic type on the plane when the bound of the domain of the independent variables consists of the pair of characteristics.

引用

页码：1009 / 1020

页数：12

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