Shooting method Definition and 18 Threads

hi guys i was trying to use this shooting algorithm from Xue and Chen Scientific Computing with MATLAB book : to solve this non linear temperature distribution problem : i checked my Matlab function multiple times but i am keep getting a nonsense graph for the temperature , can someone cheak...

hi guys i was trying to solve this non linear ode using the shooting algorithm in Matlab : i am not sure how to solve it using the normal shooting algorithm i have , since no other boundary at x = L/2 was given to check the shooting ?! function dTdx = bar_temp(x,y) k = 72; h = 2000; epsilon =...

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...

Hello! I am trying to write a program that solves the Schrodinger Equation for a particle in an infinite square well. I did a lot of research regarding the methods that could be used to accomplish this. I am writing this program in Matlab. The method I am using is called the Shooting Method. In...

I am trying to solve the differential equation ##\frac{d^{2}y}{dr^2}+(\frac{1}{r}+1)y=0## with the boundary conditions ##y(r) \rightarrow r \frac{dy}{dr}(0)## as ##r \rightarrow 0## and ##y(r) \rightarrow \sin(kr+\delta)## as ##r \rightarrow \infty##. I know that the shooting method is the...

Homework Statement I have been trying to solve the following nonlinear ordinary differential equation: ##-\Phi''-\frac{3}{r}\Phi'+\Phi-\frac{3}{2}\Phi^{2}+\frac{\alpha}{2}\Phi^{3}=0## with boundary conditions ##\Phi'(0)=0,\Phi(\infty)=0.##Homework Equations My solution is supposed to...

Hello, can anyone give me the general instructions of solving shooting method problem: dy1/dx=-y1^2*y2 dy2/dx=y1*y2^2 with the boundary conditions: y1(0)=1, y2(1)=2

Hi, I am trying to solve the following ODE for my maths project: ## y'' = \frac{\alpha}{2}y^3 - \frac{3}{2}y^2 + y - \frac{3}{x} y'## under the following boundary conditions: ## y'(0) = 0 ## ## y(x) \rightarrow y \_ \equiv 0\ \text{as}\ x \rightarrow \infty ## As a first step, I converted...

Hello all, I'm trying to write a bit of Matlab to solve the Blasius Equation f*f'' + f''' = 0, where at eta = 0, f' = 0, and at eta = infinity, f' = 1. What I have so far is below...I'm a bit rusty. Two specific questions: 1. I'm trying to drive y2 to the b.c. of 1, however my loop...

shooting method for non-linear equation(urgent) Homework Statement for shooting method , in non-linear equation, we're find $$t_{k}=t_{k-1}-\frac{[y(b,t_{k-1})-β](t_{k-1}-t_{k-2})}{y(b,t_{k-1})-y(b,t_{k-2})}$$ but how can we find the $$y(b,t_{k})$$ ? I am suppose to use Euler method for...

Hi, I was wondering if you can apply shooting method to a 4nd differential eq. two point value boundary problem, specifically I want to use this method to solve Euler-Bernoulli eq. EI y(4)(x)=f(x), y(0)=0,y'(0)=0,y(L)=0,y'(L)=0. Normally, if you have a 2nd order two point value...

I'm trying to solve a set of differential equations that all depend on a parameter, κ. I can use the system of ODEs to reduce the four equations into one second order differential equation, for y[x;κ]. I've seen certain tricks to solving equations such as d^2y/dx^2 = κ y[x].But I can not put my...

Homework Statement y"+xy'=cos(2x), y(0)=1, y'(5)+2y(5)=10 Homework Equations The Attempt at a Solution I am trying to solve this using matlab. I split the 2nd order d.e. into 2 first order d.e.'s. I set y1=y, and y2= dy/dx. Thus dy1/dx=y2 and dy2/dx= cos(2x)-x*y2. Then dy/dt=...

I need help to solve this coursework: MATLAB PROGRAMMING COURSEWORK OBJECTIVES:  Learn to solve engineering problems using MATLAB  Write Euler and Runge-Kutta initial-value ODE solvers  Write a Shooting Method boundary-value ODE solver  Investigate the properties of the solvers ...

I've done searching on the topic, and I really don't know where else to turn, so here it goes. I hope somebody can point me in the right direction. I've been working on using a shooting method to solve the steady-state spherically symmetric fluid equations for an accreting plasma. Basically, it...

Homework Statement y''-by'=f(x) I have to "derive and submit the appropriate initial value problems (with initial conditions) for u(x) and v(x). Show me all 4 equations and initial conditions... " and I know you get u(x) and v(x) by solving ivp's for the original equation, one...

I have an assignment which requires using the shooting method, but the problem is, I've read numerous things on the internet about exactly how the shooting method works, and I still don't understand it. I was hoping that someone would be kind enough to explain to me the fundamentals of how it works.

dy/dt = ky, where k is a constant. y|[SIZE="1"]t=0 = 1; y|[SIZE="1"]t=10 = 4 I need to approximate k using the shooting method and Euler's method... please help.. :) wat's the procedure to approximate k using the shooting method :confused: