A New Two Level Difference Scheme for Solving One-Dimensional Second-Order Hyperbolic Equations
In this paper, a new numerical method is developed for solving one-dimensional second-order hyperbolic equations.By using a new unconditionally stable two level difference scheme based on the quartic spline interpolation method in space direction and generalized trapezoidal formula in time direction, the hyperbolic equations are solved. Stability analysis of the scheme is carried out. The accuracy of the scheme is second-order in time direction and fourth-order in space direction. It has been shown that by suitably choosing parameter, a high accuracy scheme of third-order accurate in time direction can be derived from the method. Numerical results comparison demonstrate the superiority of the new scheme.
Difference Scheme Hyperbolic Equations Quartic Spline Interpolation
Tang-Wei Liu Li-Bin Liu He-Hua Xu Li-Hua Le
CAS Key Laboratory of Marginal Sea Geology,South China Sea Institute of Oceanology.CAS,Guangzhou 510 Department of Mathematics and Computer Science,Chizhou College,Chizhou, Anhui 247000, P.R. China CAS Key Laboratory of Marginal Sea Geology,South China Sea Institute of Oceanology.CAS,Guangzhou 510 Faculty of Mathematics and Information Sciences,East China Institute of Technology,Fuzhou, Jiangxi 3
国际会议
黄山
英文
218-221
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）