Non-uniform finite difference scheme method for convection-diffusion equations
Haitao Qi
Abstract
Haitao Qi
Abstract
A second-order non-uniform finite difference scheme is constructed,and the truncation error and its stability are given.Several different mesh methods are used to deal with the problem,and the results show that comparing with the existing finite difference schemes the non-uniform finite difference scheme illustrates a better distribution of the average error.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A second-order non-uniform finite difference scheme is constructed,and the truncation error and its stability are given.Several different mesh methods are used to deal with the problem,and the results show that comparing with the existing finite difference schemes the non-uniform finite difference scheme illustrates a better distribution of the average error.
Key concepts: Finite difference coefficient, Finite difference method, Truncation error, Mathematics, Finite difference scheme, Finite difference, Truncation (statistics), Scheme (mathematics)