## Finite Element solution to the 2nd Order Diff Equation with difussion and convection terms only

version 1.0.0.0 (2.54 KB) by
This function solves the following the following BVP using Galerkin method.

Updated 30 Oct 2009

au'(x)+bu"(x)=0 for 0<=x<=d
BC: u(0)=0 and u(d)=h
Example:
Finding an approximate solution to the following BVP using 16 elements of equal length.
u'(x)-u"(x)=0 : 0<=x<=1
BC: u(0)=0 and u(1)=1
Solution:
>> Galerkin(16,1,-1,1,1)
The result includes the plots as shown in the screenshot and the displacement and error matrix.

### Cite As

Dr. Redmond Ramin Shamshiri (2021). Finite Element solution to the 2nd Order Diff Equation with difussion and convection terms only (https://www.mathworks.com/matlabcentral/fileexchange/25696-finite-element-solution-to-the-2nd-order-diff-equation-with-difussion-and-convection-terms-only), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R14
Compatible with any release
##### Platform Compatibility
Windows macOS Linux