Accession Number : AD0701684

Title :   NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS WITH MULTIPLE SOLUTIONS.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Parter,Seymour V. ; Pereyra,Victor

Report Date : JAN 1970

Pagination or Media Count : 42

Abstract : The convergence of finite difference methods are examined in order to approximate the maximal solution of problems of the form: u double prime + lambda f(x,u) = O, with boundary conditions either u(O) = u(b) = O or u(O) = u'(b) = O, )<b = < 1. As this problem has in general more than one solution, two algorithms are developed to approximate solutions characterized by the number of their zeros in (0,1). The last section includes numerical results and some additional comments on the implementation of the algorithms on a digital computer.

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, COMPUTER PROGRAMMING, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE