
Accession Number : AD0703540
Title : INITIALVALUE METHODS FOR TWOPOINT BOUNDARYVALUE 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 twopoint boundaryvalue problems can be divided into two categories  the initialvalue and the boundaryvalue (also called the methods of finite differences). This report is an attempt to collect and present in a coherent and somewhat general manner the initialvalue methods. For the solution of the linear twopoint boundaryvalue problem the methods of complementary functions, of particular solutions, of adjoint equations, and of Riccati transformation are discussed; for the case of the nonlinear twopoint boundaryvalue 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