Accession Number : AD0728399

Title :   The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.

Descriptive Note : Interim rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Cryer,Colin W.

Report Date : JUN 1971

Pagination or Media Count : 62

Abstract : The boundary value problem x double prime (t) = g(t,x(t)) + (kappa x)(t), 0 < t < 1, x(0) = x(1) = 0, is considered. Here g : (R sup 2)(arrow)(R sup 1) and kappa : rho(0,1) (arrow) rho(0,1). The solution x is approximated using finite differences. For a large class of problems it is proved that the approximate solutions exist and converge to x. The method is illustrated by the numerical example. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, INTEGRATION), APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, NUMERICAL ANALYSIS, COMPUTER PROGRAMS, PERTURBATION THEORY, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE