Semi discretized heat equation approximated by linear finite element method
Articles > Article ยท 2003
Authors: Kemal ALTIPARMAK
International Journal of Pure and Applied Mathematics, Refereed Journals of Other Institutions, International, 2003, vol 4, pp 371-378
Summary
<p>One dimensional heat equation with initial and boundary conditions is chosen for consideration. Firstly, replacing the time derivative by first order forward-difference approximation, the partial differential equation is reduced to second order ordinary differential equation at time levels. Secondly, a numerical solution of the ordinary differential equation is investigated by linear finite element method in local coordinate system. Finally, numerical results are obtained on the one dimensional heat equation.</p>