A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

被引：0
作者：
Navnit Jha
Neelesh Kumar
机构：
[1] South Asian University,Faculty of Mathematics and Computer Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
convection-diffusion equation; compact scheme; finite-difference method; quasi-variable meshes; irreducible and monotone matrix; maximum absolute error; root-mean squared error; 65N06; 65N12; 35J57; 35J72;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss a new nine-point fourth-order and five-point second-order accurate finite-difference scheme for the numerical solution of two-space dimensional convection-diffusion problems. The compact operators are defined on a quasi-variable mesh network with the same order and accuracy as obtained by the central difference and averaging operators on uniform meshes. Subsequently, a high-order difference scheme is developed to get the numerical accuracy of order four on quasi-variable meshes as well as on uniform meshes. The error analysis of the fourth-order compact scheme is described in detail by means of matrix analysis. Some examples related with convection-diffusion equations are provided to present performance and robustness of the proposed scheme.
引用
收藏
相关论文
共 28 条
123