BOUNDARY-VALUE-PROBLEMS FOR SYSTEMS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS - APPROXIMATIONS, CONVERGENCE AND UPPER ERROR-BOUNDS

被引：0

作者：

JODAR, L ^{[1
]}

机构：

[1] UNIV POLITECN VALENCIA,DEPT APPL MATH,VALENCIA,SPAIN

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 01期

关键词：

approximations; Boundary value problems; convergence; differential system; error bounds;

D O I：

10.1016/0377-0427(90)90004-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper two-point boundary value problems for systems of second-order differential equations with constant coefficients are studied in terms of the solution of an algebraic matrix equation related to the problem. The interplay between the differential and the algebraic problems is used to obtain approximate solutions and upper error bounds of the boundary value problem in terms of approximate solutions and upper error bounds of the algebraic matrix equation. © 1990.

引用

页码：39 / 54

页数：16

共 22 条

[21] Boundary Value Problems for Non-linear First Order Systems of Partial Differential Equations in Higher Dimensions, Especially in Three Dimensions
Iqbal, Muhammad Sajid
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (05)
[22] THE EVALUATION OF THE ORDER OF APPROXIMATION OF THE MATRIX METHOD FOR NUMERICAL INTEGRATION OF THE BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF LINEAR NON-HOMOGENEOUS ORDINARY DIFFERENTIAL EQUATIONS OF THE SECOND ORDER WITH VARIABLE COEFFICIENTS. MESSAGE 1. BOUNDARY VALUE PROBLEMS WITH BOUNDARY CONDITIONS OF THE FIRST KIND
Maklakov, V. N.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2016, 20 (03): : 389 - 409

← 1 2 3 →