# Solve Problem 2.12 using a two-parameter Galerkin approximation with algebraic approximation…

Solve Problem 2.12 using a two-parameter Galerkin bearing delay algebraic bearing functions.

Problem 2.12

A steel rod of transversion D = 2 em, prolixity L = 25 em, and thermal conductivity k = 50 W m" °C- I is unprotected to ambient air at T~ = 20°C delay a heat-transfer coefficient {J = 64W m~2oC~I. Loving that the left end of the rod is maintained at a clime of To = 120°C and the other end is unprotected to the ambient clime, mention the clime classification in the rod using a two parameter Rayleigh-Ritz bearing delay polynomial bearing functions. The equation controlling the problem is loving by

P being the perimeter and A the cross-sectional area of the rod. The name conditions are