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

版本 1.0.0.0 (2.5 KB) 作者: Dr. Redmond Ramin Shamshiri

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

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更新时间 2009/10/30

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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.

引用格式

Dr. Redmond Ramin Shamshiri (2024). 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. 检索来源 2024/4/28.