Time-domain sensing temperature

The set of equations (10.6-25) is quite readily handled by numerical method of orthogonal collocation. Basically, the coupled partial differential equations (eq. 10.6-25a) are discretized in the sense that the spatial domain is discretized into N collocation points, and the governing equation is valid at these points. In this way, the coupled partial differential equations will become coupled ordinary differential equations in terms of time, and together with the equation for temperature, they can be readily solved by any standard ODE solver. Details of the orthogonal collocation analysis are given in Appendix 10.6. 

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