Finite domain anomalous spreading consistent with first and second laws

作者：Valko P P^*; Zhang X H

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(11): 3455-3470.

DOI：10.1016/j.cnsns.2009.12.001

• Space-time fractional differential equation
• Caputo derivative
• Riesz derivative
• Laplace transform
• Collocation
• Finite differences

After reviewing the problematic behavior of some previously suggested finite-interval spatial operators of the symmetric Riesz type, we create a wish list leading toward a new spatial operator suitable to use in the space-time fractional differential equation of anomalous diffusion when the transport of material is strictly restricted to a bounded domain Based on recent studies of wall effects, we introduce a new definition of the spatial operator and illustrate its favorable characteristics We provide two numerical methods to solve the modified space-time fractional differential equation and show particul

• 出版日期2010-11