A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers’ system-Reference-Cited by-同舟云学术

A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers’ system

Published:2020-05 Issue: Volume:372 Page:125009
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Chen Changkai,Zhang Xiaohua,Liu Zhang

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference64 articles.

1. Some recent researches on the motion of fluids;BATEMAN;Month. Weather Rev.,1915

2. Selected Papers of J. M. Burgers;Burgers,1995

3. A mathematical model illustrating the theory of turbulence;Burgers,1948

4. Interaction of “solitions” in a collistionless plasma and the recurrence of initial states;Zabusky;Phys. Rev. Lett.,1965

5. K. Rahman, N. Helil, R. Yimin, Some new semi-implicit finite difference schemes for numerical solution of Burgers equation, Proceedings of the International Conference on Computer Application and System Modeling (1) 63–75. doi:10.1007/s00244-017-0417-6.

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A stable scheme of the Curvilinear Shallow Water Equations with no-penetration and far-field boundary conditions;Computers & Fluids;2024-01

2. Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach;Journal of Cosmology and Astroparticle Physics;2023-11-01

3. A Stable Scheme of the Curvilinear Shallow Water Equations with No-Penetration and Far-Field Boundary Conditions;2023

4. An economical robust algorithm for solving 1D coupled Burgers’ equations in a semi-Lagrangian framework;Applied Mathematics and Computation;2022-09

5. High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers’ equations;Mathematics and Computers in Simulation;2022-06