NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS

被引：57

作者：

BOUTAYEB, A ^{[1
]}

TWIZELL, EH ^{[1
]}

机构：

[1] BRUNEL UNIV,DEPT MATH & STAT,UXBRIDGE UB8 3PH,MIDDX,ENGLAND

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1992年 / 45卷 / 3-4期

关键词：

6TH-ORDER BOUNDARY-VALUE PROBLEMS; GLOBAL EXTRAPOLATION; FINITE DIFFERENCE METHODS;

D O I：

10.1080/00207169208804130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of numerical methods is developed for the solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family. Global extrapolation procedures on two and three grids, which increase the order of convergence, are outlined.

引用

页码：207 / 223

页数：17

共 50 条

[1] NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL AND GENERAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS, WITH APPLICATIONS TO BENARD LAYER EIGENVALUE PROBLEMS
TWIZELL, EH
BOUTAYEB, A
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 431 (1883): : 433 - 450
[2] A 6TH-ORDER EXTRAPOLATION METHOD FOR SPECIAL NONLINEAR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS
TWIZELL, EH
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 62 (03) : 293 - 303
[3] NUMERICAL-METHODS FOR SPECIAL NONLINEAR BOUNDARY-VALUE-PROBLEMS OF ORDER-2M
DJIDJELI, K
TWIZELL, EH
BOUTAYEB, A
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 47 (01) : 35 - 45
[4] NUMERICAL-METHODS FOR COMPUTING THE EIGENVALUES OF LINEAR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS
TWIZELL, EH
MATAR, SA
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 40 (01) : 115 - 125
[5] THE THEORY OF NUMERICAL-METHODS FOR SOLUTION OF THE BOUNDARY-VALUE-PROBLEMS WITH AN IRREGULAR SINGULAR POINT
MONASTYRNYI, PI
FRIDLYAND, PG
DOKLADY AKADEMII NAUK BELARUSI, 1982, 26 (04): : 303 - 306
[6] HIGHER-ORDER NUMERICAL-METHODS FOR 3RD-ORDER NONLINEAR BOUNDARY-VALUE-PROBLEMS
TIRMIZI, IA
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1994, 10 (11): : 943 - 948
[7] FINITE-DIFFERENCE METHODS FOR THE SOLUTION OF SPECIAL 8TH-ORDER BOUNDARY-VALUE-PROBLEMS
BOUTAYEB, A
TWIZELL, EH
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1993, 48 (1-2) : 63 - 75
[8] NUMERICAL-METHODS FOR DISCONTINUOUS LINEAR BOUNDARY-VALUE-PROBLEMS WITH DEVIATION ARGUMENTS
CAHLON, B
NACHMAN, LJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 154 (02) : 529 - 542
[9] NUMERICAL-METHODS FOR STIFF 2-POINT BOUNDARY-VALUE-PROBLEMS
KREISS, HO
NICHOLS, NK
BROWN, DL
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (02) : 325 - 368
[10] NUMERICAL-METHODS FOR COUPLED SYSTEMS OF NONLINEAR PARABOLIC BOUNDARY-VALUE-PROBLEMS
PAO, CV
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 151 (02) : 581 - 608

← 1 2 3 4 5 →