For the following differential equations construct a three term weighted residual approximation using the a) collocation method, b) subdomain method, c) least squares method, and d) Galerkin method.

Assume an approximate solutions of the form

Plot the final results and comment on any differences in the various methods compared to the exact solution (if possible).

Solution: The values of the constants in a three-term approximation using the subdomain method are: a₁ = 0.0732,
a₂ = -0.0123, and a₃ = 0.00303

This web site was originally developed by Charles Camp for CIVL 7111.
This site is maintained by the Department of Civil Engineering at the University of Memphis.
Your comments and questions are welcomed.