My Math Forum Two point boundary problem - Shooting method

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 May 26th, 2017, 04:31 PM #1 Newbie   Joined: May 2017 From: Spain Posts: 2 Thanks: 0 Two point boundary problem - Shooting method I'm currently trying to solve the following two-point boundary problem by means of the shooting method: To clarify, I'm investigating the optimal route of aerial/marine vehicles from one point to another point, considering a flow field. * The starting and ending locations are set as x0, y0 and xf, yf respectively. * v is the constant speed of the vehicle relative to the field. * A vector v=[v_cx,v_cy]^T is used to describe the drift velocity of the field with respect to some coordinate system fixed to the ground. * ψ is the vehicle's navigation angle. * The optimal change rate of the navigation angle has been found and is as follows: There are two unknowns in this two-point boundary value problem, which are the initial navigation angle ψ(0) and tf, which is the final time. The problem that I would like some help with is thus the two-point boundary value problem that I want to solve by means of the shooting method. I haven't found useful and applicable sources that show me how to use the shooting method for this problem. I would very much appreciate a help in the right direction, either by some explanation or my directing me to useful sources. Kind regards, Ramos Pinto Last edited by skipjack; May 27th, 2017 at 02:09 AM.
 May 27th, 2017, 09:52 AM #2 Newbie   Joined: May 2017 From: Spain Posts: 2 Thanks: 0 Any help will be greatly appreciated. Thanks in advance!

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