A New Procedure for the Numerical Solution of General Non-Linear Boundary Value Problems (Odin Novyi Sposob Chislennogo Resheniya Obshchei Nelineinoi Kraevoi Zadachi),
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 26, 1971
- Accession Number
- AD0729552
Entities
People
- I. V. Byeiko
Organizations
- United States Army Foreign Science and Technology Center