A shooting method for two{point{boundary value problems for fully implicit index{ 1 and {2 diierential{algebraic equations is presented. A combination of the shooting equations with a method of the calculation of consistent initial values leads to a system of nonlinear algebraic equations with nonsingular Jacobian. Examples are given.

In previous papers, degree theory for nonlinear operators has been used to study a class of three-point boundary-value problems for second order ordinary differential equations having a super-linear term, and existence of a sequence of solutions has been shown. In this paper, we forgo the previous approach for the shooting method, which gives a drastically simpler existence theory, with less as...

Time-optimal nonlinear control of rest to rest maneuvers of double arms robot is solved using Pontryagin's Minimum Principle. A numerical non-optimal solution satisfying the state equations with the initial and the nal boundary conditions is found and used to obtain a good approximation of the initial values of the costates. Then the corresponding nonlinear two-point boundary-value problem is s...

The height of the surface of a fluid in an annular tube is explored using a shooting method to solve a boundary value problem where the radii and the contact angles are given. The contact angles on the inner and outer tube surface need not be the same. These surfaces are then extended so that they are no longer graphs. The extended surfaces are shown to solve a boundary value problem over an an...

We present a new efficient analytical approximation scheme to two-point boundary value problems of ordinary differential equations (ODEs) adapted to the study of the derivative expansion of the exact renormalization group equations. It is based on a compactification of the complex plane of the independent variable using a mapping of an angular sector onto a unit disc. We explicitly treat, for t...

This paper focuses on a steady two-dimensional slip flow of a viscous incompressible electrically conducting and radiating fluid past a linearly stretching sheet with temperature dependent viscosity is taking into account. The governing boundary layer equations are solved by using Runge-Kutta fourth order technique along with shooting method. The influence of various governing parameters on the...

In this article we consider the problem −∆pu − b (x) |∇u| p−1 = a (x) f (u) , u > 0 on R (N ≥ 3), lim|x|→∞ u(x) = 0. We prove that the considered problem has a bounded positive entire radial solution under some conditions on a, b and f . The method of proving theorems is essentially based on the shooting method. Our result, about the existence of radially symmetric solutions, seem to be the fir...

The method devised by Lewis et al. (1993) for calculating the light curve of a microlensed point source is expanded to two dimensions to enable the calculation of light curves of extended sources. This method is significantly faster than the ray shooting method that has been used in the past. The increased efficiency is used to obtain much higher resolution light curves over increased time scal...

The shooting method is a numerically effective approach to solving certain eigenvalue problems, such as that arising from the Schrödinger equation for the two-dimensional hydrogen atom with logarithmic potential function. However, no complete proof of its rationale and correctness has been given until now. This paper gives the proof, in a generalized form.