Numerical method using cubic B-spline for the heat and wave equation

作者：Goh Joan^*; Abd Majid Ahmad; Ismail Ahmad Izani Md

来源：Computers & Mathematics with Applications, 2011, 62(12): 4492-4498.

DOI：10.1016/j.camwa.2011.10.028

• Heat equation
• Wave equation
• Truncation error
• Cubic B-spline
• Interpolation function

In the present paper, the cubic B-splines method is considered for solving one-dimensional heat and wave equations. A typical finite difference approach had been used to discretize the time derivative while the cubic B-spline is applied as an interpolation function in the space dimension. The accuracy of the method for both equations is discussed. The efficiency of the method is illustrated by some test problems. The numerical results are found to be in good agreement with the exact solution.

• 出版日期2011-12