TY - JOUR
ID - 5767
TI - Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Izadi, Farnoosh
AU - Saberi Najafi, Hashem
AU - Refahi Sheikhani, Amir Hosein
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran
AD - Department of applied mathematics, Faculty of mathematical sciences, Lahijan branch, Islamic Azad University, Lahijan, Iran
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic
Azad University, Lahijan, Iran.
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 1507
EP - 1518
KW - Burger‒Huxley equation
KW - Nonstandard finite difference scheme
KW - Richtmyer’s (3, 1, 1) implicit formula
DO - 10.22075/ijnaa.2021.25004.2878
N2 - The Burger‒Huxley equation as a well-known nonlinear physical model is studied numerically in the present paper. In this respect, the nonstandard finite difference (NSFD) scheme in company with the Richtmyer’s (3, 1, 1) implicit formula is formally adopted to accomplish this goal. Moreover, the stability, convergence, and consistency analyses of nonstandard finite difference schemes are investigated systematically. Several case studies with comparisons are provided, confirming that the current numerical scheme is capable of resulting in highly accurate approximations.
UR - https://ijnaa.semnan.ac.ir/article_5767.html
L1 - https://ijnaa.semnan.ac.ir/article_5767_e4a02112fb14d0514f6ec39047c22a2a.pdf
ER -