| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 50 Number 2
Volume 50 Number 1
Volume 49 Number 6
Volume 49 Number 5
Volume 49S Number 1
Volume 49 Number 4
Earlier issues Botak Empire
Maxwin Botak Empire
Botak Empire Scatter
Daftar Botak Empire
Botak Empire Rekomendasi
Botak Empire Menang
Botak Empire Akun Pro
Scatter Botak Empire
Botak Empire Deposit Receh
Empire88 Slot 4D
Botak Empire Alternatif
Volume  Number 

previous article next article

Research articles

ScienceAsia 49 (2023):ID 693-702 |doi: 10.2306/scienceasia1513-1874.2023.048

A sixth-order finite difference method for solving the generalized Burgers-Fisher and generalized Burgers-Huxley equations

Sheng-en Liu, Yongbin Ge*, Fang Tian

ABSTRACT:     The generalized Burgers-Huxley and generalized Burgers-Fisher equations are solved by using a new sixthorder finite difference method. Such equations are discretized in space by a five-point sixth-order finite difference scheme combined with a truncation error modification technique and in time by the sixth-order backward difference formula, which constitutes a finite difference scheme with the sixth-order accuracy in both space and time. Then, the Crank-Nicolson method combined with the Richardson extrapolation technique is employed to obtain the approximate solutions at the starting time steps which can keep the spatio-temporal sixth-order accuracy of the main scheme. The linear system formed by this scheme at each time step is efficiently solved by the Thomas algorithm. Finally, some numerical experiments are carried out to verify the accuracy and reliability of the proposed method.

Download PDF

83 Downloads 504 Views

a Institute of Applied Mathematics and Mechanics, Ningxia University, Yinchuan 750021 China

* Corresponding author, E-mail:

Received 10 Sep 2022, Accepted 29 Apr 2023