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CMMSE-Convergence Analysis for Operator Splitting Methods with Application to Burgers-Huxley Equation |
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PP: 407-414 |
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Author(s) |
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Yeşim Çiçek,
Gamze Tanoğlu,
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Abstract |
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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
ut +auux −e uxx =b (1−u)(u−g )u. We show that the Lie-Trotter splitting method converges with the expected rate in Hs(R), where
Hs(R) is the Sobolev space and s is an arbitrary nonnegative integer. We split the equation into linear and nonlinear parts and apply
numerical methods for these subproblems. We present errors and confirm the theoretical results with the numerical example. |
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