A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers’ Equations

2018 ◽  
Vol 11 (2) ◽  
pp. 299-320 ◽  
Author(s):  
Buyun Chen
Keyword(s):  
Difference Scheme ◽  
High Order ◽  
Compact Difference Scheme ◽  
Burgers Equations ◽  
Compact Difference

Direct calculation of waves in fluid flows using high-order compact difference scheme

AIAA Journal ◽  
1994 ◽  
Vol 32 (9) ◽  
pp. 1766-1773 ◽  
Author(s):  
Sheng-Tao Yu ◽  
Lennart S. Hultgren ◽  
Nan-Suey Liu
Keyword(s):  
Difference Scheme ◽  
Fluid Flows ◽  
Direct Calculation ◽  
High Order ◽  
Compact Difference Scheme ◽  
Compact Difference

scholarly journals High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Yan Wang ◽  
Yongbin Ge
Keyword(s):  
Difference Scheme ◽  
Multigrid Method ◽  
Elliptic Problems ◽  
High Order ◽  
Compact Difference Scheme ◽  
Central Difference ◽  
Present Scheme ◽  
Compact Difference ◽  
Compact Approximations ◽  
Error Terms

A high-order compact difference scheme for solving the two-dimensional (2D) elliptic problems is proposed by including compact approximations to the leading truncation error terms of the central difference scheme. A multigrid method is employed to overcome the difficulties caused by conventional iterative methods when they are used to solve the linear algebraic system arising from the high-order compact scheme. Numerical experiments are conducted to test the accuracy and efficiency of the present method. The computed results indicate that the present scheme achieves the fourth-order accuracy and the effect of the multigrid method for accelerating the convergence speed is significant.

scholarly journals Application of High-Order Compact Difference Scheme in the Computation of Incompressible Wall-Bounded Turbulent Flows

Computation ◽  
2018 ◽  
Vol 6 (2) ◽  
pp. 31 ◽  
Author(s):  
Ruifeng Hu ◽  
Limin Wang ◽  
Ping Wang ◽  
Yan Wang ◽  
Xiaojing Zheng
Keyword(s):  
Difference Scheme ◽  
Turbulent Flows ◽  
High Order ◽  
Compact Difference Scheme ◽  
Compact Difference

Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

2014 ◽  
Vol 6 (4) ◽  
pp. 419-435 ◽  
Author(s):  
Seakweng Vong ◽  
Zhibo Wang
Keyword(s):  
Difference Scheme ◽  
Fourth Order ◽  
High Order ◽  
Compact Difference Scheme ◽  
Compact Finite Difference Scheme ◽  
Numerical Examples ◽  
First Order ◽  
Compact Difference ◽  
High Order Convergence ◽  
Theoretical Results

AbstractIn this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.

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