Using R-R method mapped over general element solve $\frac{d}{dx}(a \frac{du}{dx})+bu+c = 0; \hspace{1cm} 0 \leq x \leq 1$

Solve BCs are u(0)=u0 and $a(\frac{du}{dx})|_{x = L} =0$

Use Lagrange's linear shape function

Subject: Finite Element Analysis

Topic: FEA Procedure

Difficulty: Medium

Given D.E is $ \frac{d}{dx}(a \frac{du}{dx}) + bu + c = 0; \hspace{0.5cm} 0 \leq x \leq 1 $

Boundary conditions are

u(0) = u$_0$ $ a \frac{du}{dx}|_{x=L} = 0 $

1) Discretization: Dividing the domain into 3 elements

2) Take a general element of length he and set its …