Geodesic
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. 
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     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},
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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/