Find Jobs
Hire Freelancers

Solving a System of 2 ODES with Interval conditions (IVP)

£10-20 GBP

Completed
Posted over 7 years ago

£10-20 GBP

Paid on delivery
1. The problem statement, all variables and given/known data I am trying to solve a system of 2 ordinary differential equations using matlab. However, I am not able to get numerical solutions from the code despite having keyed in all possible solutions. 2. Relevant equations The equations I am given are: dx/dt=A(x/t)+By dy/dt=C(x/t^2)+D(y/t) and the boundary conditions are: y(1)=0; y(1.2)=-100E6 3. The attempt at a solution My code so far: %Mechanical Properties of Material E=200e9; nu=0.3; P=100E6; %Constants A,B,C,D in the Equations a11= (1/E); a12= (-nu/E); a33= (1/E); A= (a12)/(a11+a12); B= ((a33)-((2*a12^2)/(a11+a12))); C= (a11)/(a11^2-a12^2); D= (2*a12+a11)/(a11+a12); %Defining the System of 2ODES syms x(t) y(t) eqns = [diff(x,t)==A*(x/t)+B*y, diff(y,t)==-C*(x/t^2)-D*y]; cond = [y(1) == 0, y(1.2)==-P]; withSimplifications = dsolve(eqns, cond) withoutSimplifications = dsolve(eqns, cond, 'IgnoreAnalyticConstraints', false) [xSol(t), ySol(t)] = dsolve(eqns) The answer is get is Warning: Explicit solution could not be found. > In dsolve (line 201) In IsotropicThickWallCylinder (line 18) xSol(t) = [ empty sym ] ySol(t) = [ empty sym ] Would really appreciate some help.
Project ID: 12240206

About the project

8 proposals
Remote project
Active 7 yrs ago

Looking to make some money?

Benefits of bidding on Freelancer

Set your budget and timeframe
Get paid for your work
Outline your proposal
It's free to sign up and bid on jobs
Awarded to:
User Avatar
You are going totally wrong way: 1. You cannot categorize this problem as an IVP. 2. As the equations are not linear, hardly you get the solution following straightforward ways when using symbolic toolbox. I can use a function I previously coded for my book which I published in 2002, Numerical Recipes for Solving Engineering Problems. However there is another option to solve the problem using a function provided by MathWorks itself and included in your toolboxes.
£50 GBP in 2 days
4.8 (27 reviews)
5.0
5.0
8 freelancers are bidding on average £40 GBP for this job
User Avatar
Hi. I think I will be able to do this. Regards.......................................................
£30 GBP in 1 day
4.9 (152 reviews)
6.3
6.3
User Avatar
Hello, how are you? I hope you have a bright day/evening from your side. I have read the details provided, but please contact me so that we can discuss more on the project. I believe I have the required skills in this case. I will work on your requirements personally since I do not outsource to third parties, this guarantees you high-quality work that is delivered on time. You can also request for revisions till you’re fully satisfied with the work. I believe writing is a passion and not a money making business where people will deliver low-quality work just to get paid. Try my services, and you will never regret. Waiting for your kind response
£84 GBP in 3 days
4.8 (21 reviews)
4.8
4.8
User Avatar
Knowledge Pro innovative is dedicated to brings to Industries, Small-Business and people like you a good service, we provide complete solution on Engineering, energy, circuit design, statistics, statistical analysis, renewable energy, autocad, matlab, mathematics, academic writings, technical writing etc. Our commitment lies in honesty, integrity, ethical code of conduct, efficiency and speedy respond, I love to work hard to meet the deadlines and take a project to the next level. Do not hesitate to contact me to discuss your project in details and determine how my skills will positively contribute to your team, let our service makes a positive and lasting impresion.
£11 GBP in 1 day
5.0 (5 reviews)
3.7
3.7
User Avatar
hello, So you want to solve a system of defirential equation, the unknowns are x and y that vary with respect to t. you given the value of y in t=1 an t=1.2 as if you have a boundary problem, my first question is what about the values of x at t=1 and t=1.2, , they are mandatory for resolving the system. the second remark is that you try to solve it analyticly, if you want to solve it numerically you have to use methode like finite difference, ode45, and the like. I have not yet understand the problem but these are my remarks.
£50 GBP in 2 days
4.8 (16 reviews)
3.9
3.9
User Avatar
Hi, I've been working on matlab for several years and would like to work on your project. I'm looking forward to hearing from you.
£50 GBP in 1 day
5.0 (4 reviews)
3.2
3.2
User Avatar
Hello, I would like to work on this project as I am working on Matlab for my master thesis. Regards, Aakash
£23 GBP in 1 day
0.0 (0 reviews)
0.0
0.0

About the client

Flag of UNITED KINGDOM
Cardiff, United Kingdom
5.0
4
Payment method verified
Member since Oct 30, 2016

Client Verification

Thanks! We’ve emailed you a link to claim your free credit.
Something went wrong while sending your email. Please try again.
Registered Users Total Jobs Posted
Freelancer ® is a registered Trademark of Freelancer Technology Pty Limited (ACN 142 189 759)
Copyright © 2024 Freelancer Technology Pty Limited (ACN 142 189 759)
Loading preview
Permission granted for Geolocation.
Your login session has expired and you have been logged out. Please log in again.