TY - JFULL AU - Joan Goh and Ahmad Abd. Majid and Ahmad Izani Md. Ismail PY - 2010/11/ TI - A Comparison of Some Splines-Based Methods for the One-dimensional Heat Equation T2 - International Journal of Physical and Mathematical Sciences SP - 1390 EP - 1394 VL - 4 SN - 1307-6892 UR - https://publications.waset.org/pdf/5163 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 46, 2010 N2 - 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 胃-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. ER -