## Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method

- Hongqing Zhu, Huazhong Shu, Meiyu Ding
- Computers & Mathematics with Applications
- 2010

Highly Influential

7 Excerpts

- Published 2017

Abstract: Splines and quasi-interpolation operators are important both in approximation theory and applications. In this paper, we construct a family of quasi-interpolation operators for the bivariate quintic spline spaces S3 5p∆ p2q mnq. Moreover, the properties of the proposed quasi-interpolation operators are studied, as well as its applications for solving the two-dimensional Burgers’ equation and image reconstruction. Some numerical examples show that these methods, which are easy to implement, provide accurate results.

@inproceedings{Yu2017QuasiInterpolationOF,
title={Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications},
author={Rengui Yu and Chungang Zhu and Xianmin Hou and Li Yin and Fazal Mahmood Mahomed},
year={2017}
}