| A CLASS OF ALTERNATING GROUP METHOD OF BURGERS' EQUATION |
| |
| 作者姓名： | 王文洽 |
| |
| 作者单位： | School of |
| |
| 基金项目： | theDoctorateFoundationoftheStateEducationDepartmentofChina( 970 42 2 0 2 )，theNaturalScienceFoundationofShandongProvinceofChina (Y2 0 0 3A0 4) |
| |
| 摘 要： | IntroductionWeconsiderthefollowingnonlinearBurgers’equation : u t u u x=ε 2 u x2 , 0 0 ,( 1 )withtheinitialandtheboundaryconditions u(x,0 ) =f(x) , 0
|
A CLASS OF ALTERNATING GROUP METHOD OF BURGERS' EQUATION |
| |
| WANG Wen_qia.A CLASS OF ALTERNATING GROUP METHOD OF BURGERS' EQUATION[J].Applied Mathematics and Mechanics(English Edition),2004,25(2). |
| |
| Authors: | WANG Wen_qia |
| |
| Abstract: | Some new Saul'yev type asymmetric difference schemes for Burgers' equation is given, by the use of the schemes, a kind of alternating group four points method for solving nonlinear Burgers' equation is constructed here. The basic idea of the method is that the grid points on the same time level is divided into a number of groups, the difference equations of each group can be solved independently, hence the method with intrinsic parallelism can be used directly on parallel computer. The method is unconditionally stable by analysis of linearization procedure. The numerical experiments show that the method has good stability and accuracy. |
| |
| Keywords: | Burgers' equation Saul'yev type asymmetric difference scheme alternating group four points scheme linear unconditional stability parallel computation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
