Strang splitting method for Burgers–Huxley equation
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摘要
We derive an analytical approach to the Strang splitting method for the Burgers–Huxley equation (BHE) ut+αuux−ϵuxx=β(1−u)(u−γ)u. We proved that Srtang splitting method has a second order convergence in Hs(R), where Hs(R) is the Sobolev space and s is an arbitrary nonnegative integer. We numerically solve the BHE by Strang splitting method and compare the results with the reference solution.
论文关键词：Operator splitting method,Burgers–Huxley equation,Regularity,Sobolev spaces,Error analysis
论文评审过程：Received 18 May 2015, Revised 11 October 2015, Accepted 21 December 2015, Available online 14 January 2016, Version of Record 14 January 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2015.12.029
