%0 Journal Article
	%A Joan Goh and Ahmad Abd. Majid and  Ahmad Izani Md. Ismail
	%D 2010
	%J International Journal of Physical and Mathematical Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 46, 2010
	%T A Comparison of Some Splines-Based Methods for the One-dimensional Heat Equation
	%U https://publications.waset.org/pdf/5163
	%V 46
	%X In this paper, collocation based cubic B-spline and
extended cubic uniform B-spline method are considered for
solving one-dimensional heat equation with a nonlocal initial
condition. Finite difference and θ-weighted scheme is used for
time and space discretization respectively. The stability of the
method is analyzed by the Von Neumann method. Accuracy of
the methods is illustrated with an example. The numerical results
are obtained and compared with the analytical solutions.
	%P 1391 - 1394