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arXiv · 1604.02112

On a collocation method for the time-fractional convection-diffusion equation with variable coefficients

Xiaogang Zhu·Yufeng Nie
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Abstract

In this work, a new collocation approach using a combination of a wavelet operational matrix method and the exponential spline interpolation is proposed to solve the time-fractional convection-diffusion equation with variable coefficients. The operational matrix of fractional order integration is first derived based on sine-cosine wavelet functions, which helps to convert the underlying equation into a linear algebraic system. Then, an exponential B-spline method is introduced in spatial direction. On selecting a set of proper collocation points, the method in presence is evaluated on several test problems and the numerical results finally illustrate its validity and applicability.

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Xiaogang Zhu, Yufeng Nie. 2016-04-06. On a collocation method for the time-fractional convection-diffusion equation with variable coefficients. https://arxiv.org/abs/1604.02112

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