A 6TH ORDER SPLINE PROCEDURE FOR A CLASS OF NONLINEAR BOUNDARY-VALUE-PROBLEMS

被引：1
|
作者：
BHATTA, SK
SASTRI, KS
机构：
[1] Department of Mathematics, Indian Institute of Technology, Kharagpur
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1993年 / 49卷 / 3-4期
关键词：
QUINTIC SPLINE; SEXTIC SPLINE; BOUNDARY VALUE PROBLEMS; TRIDIAGONAL MATRICES; PENTADIAGONAL MATRICES; CONVERGENCE;
D O I：
10.1080/00207169308804235
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of nonlinear boundary value problems of the form y'' + f(x, y) = 0, 0 less-than-or-equal-to x less-than-or-equal-to 1, subject to boundary conditions y(0) = alpha, and y(1) = beta. A numerical procedure is presented based on spline functions of degree five and six. Detailed error analysis and sixth order convergence of the scheme are discussed. Finally, computational efficiency and the convergence order are verified through numerical examples. For the sake of comparison, results using some well-known methods are also tabulated.
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页码：255 / 271
页数：17
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