Hermite interpolation visits ordinary two-point boundary value problems

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

On Some Two-point Boundary Value Problems for Two-dimensional Systems of Ordinary Differential Equations

Sufficient conditions for the solvability of two-point boundary value problems for the system xi = fi(t, x1, x2) (i = 1, 2) are given, where f1 and f2 : [a1, a2]×R → R are continuous functions. 1. Statement of the problems and formulation of the main results Consider the system of ordinary differential equations xi = fi(t, x1, x2) (i = 1, 2) (1.1) with boundary conditions λi1x1(ai) + λi2x2(ai) ...

Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations

This paper introduces the regular decoupling field to study the existence and uniqueness of solutions of two-point boundary value problems for a class of ordinary differential equations which can be derived from the maximum principle in optimal control theory. The monotonicity conditions used to guarantee the existence and uniqueness of such equations are initially a special case of the regular...

Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations

has been studied by many authors from the pioneering work of Picard 1 , who proved the existence of a solution by an application of the well-known method of successive approximations under a Lipschitz condition on g and a smallness condition on T . Sharper results were obtained by Hamel 2 in the special case of a forced pendulum equation see also 3, 4 . The existence of periodic solutions for t...