SHOOTING METHODS FOR TWO-POINT BVPs WITH PARTIALLY SEPARATED ENDCONDITIONS
نویسنده
چکیده
The stabilized march technique is extended to nonlinear two-point boundary value problems via a new Generalized Brent Method for systems of nonlinear algebraic equations. The resulting algorithms can be used to solve systems of nonlinear rst-order ordinary di erential equations under partially separated nonlinear boundary conditions economically. Numerical results which compare the nonlinear stabilized march method with the standard multiple shooting method are given. short title: SHOOTING METHODS AMS (MOS) subject classi cation: 65L101
منابع مشابه
A Reliable Treatment for Solving Nonlinear Two-Point Boundary Value Problems
In this paper, we study the modified decomposition method (MDM) for solving nonlinear twopoint boundary value problems (BVPs) and show numerical experiments. The modified form of the Adomian decomposition method which is more fast and accurate than the standard decomposition method (SDM) was introduced by Wazwaz. In addition, we will compare the performance of the MDM and the new nonlinear shoo...
متن کاملSolving Second Order Linear Dirichlet and Neumann Boundary Value Problems by Block Method
In this paper, the direct three-point block one-step methods are considered for solving linear boundary value problems (BVPs) with two different types of boundary conditions which is the Dirichlet and Neumann boundary conditions. This method will solve the second order linear BVPs directly without reducing it to the system of first order equations. The direct solution of these two types of BVPs...
متن کاملThe Shooting Method and Multiple Solutions of Two/Multi-Point BVPs of Second-Order ODE
Within the last decade, there has been growing interest in the study of multiple solutions of twoand multi-point boundary value problems of nonlinear ordinary differential equations as fixed points of a cone mapping. Undeniably many good results have emerged. The purpose of this paper is to point out that, in the special case of second-order equations, the shooting method can be an effective to...
متن کاملA Two-Stage LGSM for Three-Point BVPs of Second-Order ODEs
The study in this paper is a numerical integration of second-order three-point boundary value problems under two imposed nonlocal boundary conditions at t t0, t ξ, and t t1 in a general setting, where t0 < ξ < t1. We construct a two-stage Lie-group shooting method for finding unknown initial conditions, which are obtained through an iterative solution of derived algebraic equations in terms of ...
متن کاملSimple shooting-projection method for numerical solution of two-point Boundary Value Problems
This paper presents a novel shooting algorithm for solving two-point boundary value problems (BVPs) for differential equations of one independent variable. This algorithm includes the following steps: First, a shooting step is performed, in which a guess for the initial condition is made and a forward numerical integration of the differential equation is performed so that an Initial Value Probl...
متن کامل