On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 1, pp. 103-116
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In this paper, the Lie-Trotter splitting method (LSM) is used to solve the generalized Burgers-Huxley equation (GBHE) numerically. We first establish the local error bounds of approximate solutions of the GBHE with the help of the theory of differential operators in a Banach space. Then we prove the global convergence by using a telescoping identity. At the end, the accuracy of the method is provided by numerical results which are compared with earlier studies.
@article{SJVM_2021_24_1_a8,
author = {Y. \v{C}i\v{c}ek and S. Korkut},
title = {On the numerical solution of the generalized {Burgers-Huxley} equation by {Lie-Trotter} splitting method},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {103--116},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_1_a8/}
}
TY - JOUR AU - Y. Čiček AU - S. Korkut TI - On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2021 SP - 103 EP - 116 VL - 24 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2021_24_1_a8/ LA - ru ID - SJVM_2021_24_1_a8 ER -
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Y. Čiček; S. Korkut. On the numerical solution of the generalized Burgers-Huxley equation by Lie-Trotter splitting method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 1, pp. 103-116. http://geodesic.mathdoc.fr/item/SJVM_2021_24_1_a8/