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),

Descriptive Note:

Corporate Author:

ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s):

• Byeiko,I. V.

Report Date:

1971-08-26

Pagination or Media Count:

15.0

Abstract:

The author considers the boundary value problem 1 dxdt fx,t, 2 Fxto, x T or 0, where x x1..., xn, f f1..., fn. It is assumed that the vector function f x,t and the functional Fx,y have continuously differentiable arguments. One designates by x sup kt the system path dxdt fx,t u sup kt, u u1,..., un. The method presented involves the construction of a series of paths x sup 0t, x sup 1 t,..., x sup kt 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