Strang splitting method for Burgers-Huxley equation

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.