Accession Number : AD0729552

Title :   A New Procedure for the Numerical Solution of General Non-Linear Boundary Value Problems (Odin Novyi Sposob Chislennogo Resheniya Obshchei Nelineinoi Kraevoi Zadachi),

Corporate Author : ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s) : Byeiko,I. V.

Report Date : 26 AUG 1971

Pagination or Media Count : 15

Abstract : The author considers the boundary value problem (1) dx/dt = f(x,t), (2) F(x(to), x (T)) = or < 0, where x = (x1..., xn), f = (f1..., fn). It is assumed that the vector function f (x,t) and the functional F(x,y) have continuously differentiable arguments. One designates by (x sup k)(t) the system path dx/dt = f(x,t) + (u sup k)(t), (u = (u1,..., un)). The method presented involves the construction of a series of paths (x sup 0)(t), (x sup 1) (t),..., (x sup k)(t) which converge, under certain conditions, to the solution of problems (1), (2). (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, INTEGRATION), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), INEQUALITIES, ITERATIONS, CONVERGENCE, ALGORITHMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE