Bicubic B-spline Interpolation Method for Two-Dimensional Heat Equation.

Authors :: Abd Hamid, Nur Nadiah
Majid, Ahmad Abd.
Ismail, Ahmad Izani Md.
Source :: AIP Conference Proceedings; 2015, Vol. 1682 Issue 1, p1-5, 5p, 1 Chart, 1 Graph
Publication Year :: 2015
Abstract: Two-dimensional heat equation was solved using bicubic B-spline interpolation method. An arbitrary surface equation was generated by bicubic B-spline equation. This equation was incorporated in the heat equation after discretizing the time using finite difference method. An under-determined system of linear equation was obtained and solved to obtain the approximate analytical solution for the problem. This method was tested on one example. [ABSTRACT FROM AUTHOR]