Find the weak form of a second order linear differential eqn / solve using finite element method

User Generated

ffrvtraoebg

Engineering

Description

(Part A) Find the weak form of -d^2u/dx^2 + u - x = 0 on x=[0,1], where u(0)=1 and u(1)=0.
(Part B) solve this equation using the finite element method with linear interpolation functions and compare to the exact solution, which is given by:
u(x) = x - [sinh(x)/sinh(1)]

Unformatted Attachment Preview

1. Find the weak form of dau +u- x = 0 on x=[0,1] u(0) = 1 u(1) = 0 2. Solve this equation using the finite element method with linear interpolation functions and compare to the exact solution, which is given by: sinh(x) u(x) = x - sinh(1)
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Attached are the solut...


Anonymous
Just what I needed. Studypool is a lifesaver!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags