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A New Procedure for the Numerical Solution of General Non-Linear Boundary Value Problems (Odin Novyi Sposob Chislennogo Resheniya Obshchei Nelineinoi Kraevoi Zadachi),
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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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
APPROVED FOR PUBLIC RELEASE