Title :
A Non-polynomial Spline Method for Solving the One-Dimensional Heat Equation
Author :
Liu, Huan-Wen ; Liu, Li-Bin
Author_Institution :
Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning
Abstract :
In this paper, a numerical method based on non-polynomial spline functions is presented to solve the one-dimensional heat equation. The new method is unconditionally stable. The accuracy order of the new method is of O(k5+h4),where k and h denote the mesh parameters for t and x, respectively. The accuracy of the present method is much higher than previous known methods.
Keywords :
computational complexity; heat systems; parabolic equations; splines (mathematics); 1D heat equation; nonpolynomial spline method; parabolic model equation; accuracy; non-polynomial splines; one-dimensional heat equation; stability;
Conference_Titel :
Information Science and Engineering, 2008. ISISE '08. International Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-2727-4
DOI :
10.1109/ISISE.2008.306
