Fitting Criteria in Boundary Value Problems.
Abstract
Consider the following problem: dy/dx = Ly + f which represents N first order ordinary differential equations. Suppose y = the summation from k=1 to (n+1) of (a sub k)(p sup k) is a solution to the original ODE, where the (a sub k's) are the superposition constants and the (p sup k's) are particular solutions of (1). The solution of the problem becomes one of finding the (a sub k's). Determining the (a sub k's) entails solving an overdetermined set of linear equations with the (a sub k's) as the unknowns. Two methods are presented for solving the overdetermined set of equations and each is evaluated according to specified criteria.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1976
- Accession Number
- ADA025896
Entities
People
- John H. Walker