Gamze Tanoglu

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We provide an error analysis of the operator splitting method of the Lie-Trotter type applied to the Burgers-Huxley equation u t + αuu x − εu xx = β (1 − u)(u − γ)u. We show that the Lie-Trotter splitting method converges with the expected rate in H s (R), where H s (R) is the Sobolev space and s is an arbitrary nonnegative integer. We split the equation(More)
In this paper, we contribute higher order operator-splitting method improved by Zassen-haus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order operator-splitting methods is presented. While applying the methods to partial differential equations, the benefits of balancing time and(More)
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