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Keywords
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Fractional differential equation, Haar wavelet, Operational matrices, Numerical solution, iterative technique, Sylvester equation
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Abstract
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In this work, we investigate a fractional version of the Fisher equation and solve it by using an efficient iteration technique based on the Haar wavelet operational matrices. In fact, we convert the nonlinear equation into a Sylvester equation by
the Haar wavelet collocation iteration method (HWCIM) to obtain the solution. We provide four numerical examples to illustrate the simplicity and efficiency of the technique.
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