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

Algorithm for division, Also, their inability to apply the algorithm for di...

Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n

Estimate root of given equations, The positive value of k for which x 2 +K...

The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒  b 2 -4ac > 0 K 2 - 256 > 0 K

Volume, a data set has a mean of 3, a median of 4, and a mode of 5.which nu...

a data set has a mean of 3, a median of 4, and a mode of 5.which number must be in the data set-3,4,5?

Find the volume of the cuboids, If the areas of three adjacent faces of cub...

If the areas of three adjacent faces of cuboid are x, y, z respectively, Find the volume of the cuboids. Ans: lb = x , bh = y, hl = z Volume of cuboid = lbh V 2 = l 2 b 2

Limit comparison test - sequences and series, Limit Comparison Test Ass...

Limit Comparison Test Assume that we have two series ∑a n and ∑b n with a n , b n   ≥ 0 for all n. Determine, If c is positive (i.e. c > 0 ) and is finite (i.e. c

Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

Tower of hanoi, how to create an activity of tower of hanoi

how to create an activity of tower of hanoi

Solve for, a)Solve for ?, if tan5? = 1. Ans:    Tan 5? = 1        ⇒ ? ...

a)Solve for ?, if tan5? = 1. Ans:    Tan 5? = 1        ⇒ ? =45/5 ⇒ ?=9 o . b)Solve for ? if S i n ?/1 + C os ? + 1 +  C os ?/ S i n ? = 4 . Ans:  S i n ?/1 +

What division means, WHAT DIVISION MEANS :  Ask any primary school teacher...

WHAT DIVISION MEANS :  Ask any primary school teacher which areas in arithmetic the children find very difficult. Division will probably top her list. This is not surprising. If y

Theory of quadratic equations.., solve the following simultaneous equations...

solve the following simultaneous equations x+y=a+b ; a/x_b/y

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