Question Description
Develop the finite element equation set for a differential equation (given below, with appropriate boundary conditions) and use your derived element to approximate the solution to the differential equation on the region bounded by the given boundary conditions.
Use a bilinear interpolation function (that is, the approximation will be of the form a + bx + cy + dxy, where a, b, c, d are constants to be found for each element, and x, y are independent spatial variables).
Show
A minimum of 9 nodes will be required; more may be necessary, if comparison of exact to approximate solutions is poor. You will be well advised to use a computer program such as Matlab for setting up and solving the global set. You may use Matlab more extensively if you wish, but all work done in Matlab must be properly explained (for clarity, to assist in grading.)
The specific differential equation to be approximately solved is:
For comparison of FE results to exact results: the exact solution to this PDE with these boundary conditions is
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.