ABSTRACT

In the Galerkin weighted residual aeproach, the weighting factors Wk (k = 1, 2, ...) are chosen to be the shape functions N;')(x) and N'~I (x) specified by Eg. (12.190). Let W(x) = N,(') (x). Then,

and I

i (12.195)

Substitute W(x) and Wx into Eg. (12.193) and evaluate integrals A, B, C, and D.