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

This function solves the following the following BVP using Galerkin method.

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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 (2026). 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 .

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0