INITIAL-VALUE METHODS FOR TWO-POINT BOUNDARY-VALUE PROBLEMS.
Abstract
Apart from certain methods such as that of the Fourier series or the Chebyshev methods, the computational methods for the solution of two-point boundary-value problems can be divided into two categories - the initial-value and the boundary-value (also called the methods of finite differences). This report is an attempt to collect and present in a coherent and somewhat general manner the initial-value methods. For the solution of the linear two-point boundary-value problem the methods of complementary functions, of particular solutions, of adjoint equations, and of Riccati transformation are discussed; for the case of the nonlinear two-point boundary-value problem, the shooting methods and that of quasilinearization are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1969
- Accession Number
- AD0703540
Entities
People
- I. H. Mufti
Organizations
- National Research Council Canada