Studies on the Method of Orthogonal Collocation II. An Efficient Numerical Method for the Solution of the Transient Heat Conduction Problem

An efficient numerical method for the solution of the transient heat conduction problem is developed using the orthogonal collocation method. The method is based on dividing the domain of temperature change into two zones; a zone for which the temperature profile is steep and a zone with no temperature change. As time increases the inactive zone disappears and a modified collocation method is used.