User Account

All Pages

Initial value problems, math, Mathematics

Assignment Help:
Write a Matlab function MyIVP that solves an initial-value 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 one-dimensional input (for time t) and one n-dimensional input x, and n-dimensional output. The function should implement a Runge-Kutta 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 right-hand side of the ODE. f should accept two arguments: t (a number) and x (an n-dimensional vector). The function f should return an n-dimensional 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 (n-dimensional 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 built-in 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.

Related Discussions:- Initial value problems, math

How many permutations can you make of the word statistics, Q. How many perm...

Q. How many permutations can you make of the word STATISTICS? Solution:  There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n 1 =3, three are T'

Dumpy level, Hi there, I am doing a math assignment at current, however I a...

Hi there, I am doing a math assignment at current, however I am having trouble with a question about dumpy level, and finding whether the slope of the block will be suitable for th

Inverse of functions, -9+f ?-1 ?? (a-1)=-12 f(-3)=2

-9+f ?-1 ?? (a-1)=-12 f(-3)=2

Find the surface area and volume of the composite figure, SA= Ph+2B L=36 ft...

SA= Ph+2B L=36 ft W=10 ft H=20 ft P=92 ft B=360 ft

Parallel and perpendicular lines, The last topic that we have to discuss in...

The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines. Suppose that th

Derivatives of hyperbolic functions , Derivatives of Hyperbolic Functions ...

Derivatives of Hyperbolic Functions : The last set of functions which we're going to be looking at is the hyperbolic functions.  In several physical situations combinations of e

Formulas, A house painter uses the formula, c = $110.50 + $39.50h, where c ...

A house painter uses the formula, c = $110.50 + $39.50h, where c is the total cost and h is the number of hours he works, to determine how much he charges his customers. How much s

Set identities, commutative law

commutative law

Infinite interval - improper integrals, Infinite Interval  - Improper Inte...

Infinite Interval  - Improper Integrals In this type of integral one or both of the limits that is upper limit and lower limit of integration are infinity.  In these cases the

Siquence aned series, if 4,a and 16 are in the geometric sequence. Find the...

if 4,a and 16 are in the geometric sequence. Find the value

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd