Talk:Muhamad akbar fuad

Question 1: Can you derive finite element equations from 1D PDE governing equations using weighted residual in a very simple way along with an example?

Certainly! Deriving the finite element equations from a 1D partial differential equation (PDE) using the weighted residual method is a great way to understand the basics of the finite element method (FEM). Let’s go through it step-by-step with a simple example.

Problem Setup: 1D PDE Example

Step 1: Formulate the Weak Form (Weighted Residual Form)

Step 2: Discretize the Domain and Approximate u(x)

Step 3: Apply the Weighted Residual Method to Each Element

Summary