International Journal of Pure and Applied Mathematics, vol.4, no.4, pp.371-378, 2003 (Refereed Journals of Other Institutions)
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.