Accession Number : AD0703540

Title :   INITIAL-VALUE METHODS FOR TWO-POINT BOUNDARY-VALUE PROBLEMS.

Descriptive Note : Mechanical engineering rept.,

Corporate Author : NATIONAL RESEARCH COUNCIL OF CANADA OTTAWA (ONTARIO) DIV OF MECHANICAL ENGINEERING

Personal Author(s) : Mufti,I. H.

Report Date : JUN 1969

Pagination or Media Count : 24

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)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, TRANSFORMATIONS(MATHEMATICS)), (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), (*NUMERICAL INTEGRATION, *NUMERICAL ANALYSIS), NONLINEAR DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, ITERATIONS, CANADA

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE