Boundary Integral Solution of the Time-Fractional Diffusion Equation

J. Kemppainen () and K. Ruotsalainen ()
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J. Kemppainen: University of Oulu
K. Ruotsalainen: University of Oulu

Chapter 20 in Integral Methods in Science and Engineering, Volume 2, 2010, pp 213-222 from Springer

Abstract: Abstract In this chapter we discuss the boundary integral solution of the fractional diffusion equation 20.1 $$\begin{array}{c}\partial^\alpha_t \Phi - \Delta\Phi = 0, {\rm in} \ Q_T = \Omega \times (0, T),\\ \Phi = g, {\rm on} \sum_T = \Gamma \times (0, T),\\ \Phi(x, 0) = 0, \ x \in \Omega,\end{array}$$ where $$\Omega \subset \mathbb{R}^n$$ is a smooth, bounded domain and ∂α t is the Caputo time derivative of the fractional order 0

Keywords: Fundamental Solution; Boundary Integral Equation; Caputo Derivative; Jump Relation; Zero Initial Condition (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4897-8_20

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