Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes

被引：5

作者：

Blatov, IA ^{[1
]}

Blatova, VV ^{[1
]}

Rozhec, YB ^{[1
]}

Strygin, VV ^{[1
]}

机构：

[1] VORONEZH STATE UNIV,DEPT APPL MATH & MECH,VORONEZH 394693,RUSSIA

来源：

APPLIED NUMERICAL MATHEMATICS | 1997年 / 25卷 / 04期

关键词：

D O I：

10.1016/S0168-9274(97)00053-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note considers strongly nonlinear systems. To numerically analyze boundary value problems, special adaptive meshes and parabolic splines are used. A theorem on the convergence of approximate solutions to exact solutions is proved. Error estimates of order O(1/m(2)), where m is a number of knots of the special partition, are established. (C) 1997 Elsevier Science B.V.

引用

页码：321 / 332

页数：12

共 50 条

[21] SINGULARLY PERTURBED NONLINEAR BOUNDARY-VALUE PROBLEMS ON INFINITE INTERVAL
WEILI, Z
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (02) : 340 - 367
[22] A VARIATIONAL APPROACH TO NONLINEAR SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS
KATH, WL
KNESSL, C
MATKOWSKY, BJ
STUDIES IN APPLIED MATHEMATICS, 1987, 77 (01) : 61 - 88
[23] SINGULARLY PERTURBED NONLINEAR BOUNDARY-VALUE PROBLEMS WITH TURNING POINTS
HOWES, FA
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1975, 6 (04) : 644 - 660
[24] A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems
TANG Rong-rong(Department of Mathematics
数学季刊, 2003, (02) : 117 - 120
[25] Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems
Boglaev, Igor
BOUNDARY VALUE PROBLEMS, 2009,
[26] CUBIC SPLINE METHOD FOR A CLASS OF NONLINEAR SINGULARLY-PERTURBED BOUNDARY-VALUE-PROBLEMS
KADALBAJOO, MK
BAWA, RK
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 76 (03) : 415 - 428
[27] CONVERGENCE OF THE SPLINE-COLLOCATION METHOD FOR SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS ON LOCALLY UNIFORM MESHES
BLATOV, IA
STRYGIN, VV
DIFFERENTIAL EQUATIONS, 1990, 26 (07) : 869 - 875
[28] ITERATION METHOD OF PASSAGE OF APPROXIMATE SOLUTION TO NONLINEAR SINGULARLY PERTURBED BOUNDARY-VALUE PROBLEMS
BOGLAEV, IP
DOKLADY AKADEMII NAUK SSSR, 1977, 235 (06): : 1241 - 1244
[29] The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems
Liu, Chein-Shan
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1506 - 1521
[30] Computational Method for Singularly Perturbed Boundary Value Problems with Dual Boundary Layer
Phaneendra, K.
Rakmaiah, S.
Reddy, M. Chenna Krishna
INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) - 2015, 2015, 127 : 370 - 376

← 1 2 3 4 5 →