Accession Number : AD0767725

Title :   A Collocation Method for Two-Point Boundary Value Problems,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Ahlberg,John H. ; Ito,T.

Report Date : AUG 1973

Pagination or Media Count : 24

Abstract : The report is concerned with the use of collocation by splines to numerically solve two-point boundary-value problems. The problem is analyzed in terms of cubic splines first and then extended to the use of quintic and septic splines. Consideration is given both to convergences as the mesh is refined and to the bandwidth of the matrices involved. Comparisons are made to a similar approach using the Galerkin method rather than collocation. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, INTERPOLATION, CALCULUS OF VARIATIONS, NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE