Strang splitting method for Burgers–Huxley equation

Y. Çiçek and G. Tanoǧlu

Applied Mathematics and Computation, 2016, vol. 276, issue C, 454-467

Abstract: 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.

Keywords: Operator splitting method; Burgers–Huxley equation; Regularity; Sobolev spaces; Error analysis (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:454-467

DOI: 10.1016/j.amc.2015.12.029

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