Login

Create Account
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Initial value problems, math, Mathematics
Write a Matlab function MyIVP that solves an initialvalue problem (IVP) for a system of ordinary
differential equations (ODEs) of the form
x ?(t) = f (t, x(t)),
where f : R × Rn ? Rn is an arbitrary function with one onedimensional input (for time t) and one ndimensional input x, and ndimensional output. The function should implement a RungeKutta formula (for example, the rk34 formula or the Dormand & Prince formula).
The initial value x0 is provided by the user of MyIVP. The first line of MyIVP (saved in a file MyIVP.m) should look like this
function [xend,t,xt]=MyIVP(f,x0,tspan,N) Inputs
• f: function defining the righthand side of the ODE. f should accept two arguments: t (a number) and x (an ndimensional vector). The function f should return an ndimensional vector y (the time derivative). Typical calling sequence: y=f(t,x), returning the value of f at time t in position x.
• x0: initial value where integration starts from (ndimensional vector).
• tspan: Starting time and end time for integration. Integration has to run from time t =tspan(1)
to time t =tspan(2).
• N: number of steps for integration. The integration stepsize h=(tspan(2)tspan(1))/N should
be small.
Outputs
• xend: result of integration at t =tspan(2).
• t: vector of times at which intermediate values have been computed (this should have N + 1
entries).
• xt: intermediate values (n × (N + 1)array). xt(:,k) should be the solution at t(k).
You can check the builtin variable nargout inside your function to see if the user wants to get three outputs or only the end value xend. If nargout==1 you don’t need to store the intermediate values.
Posted Date: 3/12/2012 10:19:33 AM  Location : United States
Ask an Expert
Related Discussions:
Initial value problems, math, Assignment Help, Ask Question on Initial value problems, math, Get Answer, Expert's Help, Initial value problems, math Discussions
Write discussion on Initial value problems, math
Your posts are moderated
Write your message here..
Related Questions
If 6 more black balls are put in the box find x, A box contains 12 balls ou...
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
Calculate the probability, Calculate the Probability A bag contains 80...
Calculate the Probability A bag contains 80 balls of such 20 are red, 25 are blue and 35 are white. A ball is picked at random what is the probability that the ball picked is
Probability  applications of integrals, Probability  Applications of inte...
Probability  Applications of integrals In this final application of integrals that we'll be looking at we are going to look at probability. Previous to actually getting into
Graphical method for interpolation, Graphical Method Whil...
Graphical Method While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependen
Differentiate the equation x = x (t ) and y = y (t ) , Suppose that x = x (...
Suppose that x = x (t ) and y = y (t ) and differentiate the following equation with respect to t. Solution x 3 y 6 + e 1 x  cos (5
Value of pi, what is the value of pi
what is the value of pi
Distance between two points, give some examples
give some examples
Calculus, what is the derivatives of y=u/5+7 and u=5x35 using the chain ru...
what is the derivatives of y=u/5+7 and u=5x35 using the chain rule?
Fraction, 1/8 +2 3/4
1/8 +2 3/4
Numbers, even numbers
even numbers
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work