Finite element approximation for a modified anomalous subdiffusion equation

By Qing Huo Liu, Fawang Liu, Ian L Turner, Vo Anh. 2011

105 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/783152e601aaf69af30b96ddc9eb5aa68177baec

Citations in the corpus

• A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation (2014, unknown): “The main purpose of this article is to propose an ε-approximate solution by using a reproducing kernel collocation method for the following modified anomalous subdiffusion equation with a linear source term in a finite domain [18, 21]: ∂u(x, t) ∂t = ( μ ∂1−α ∂t1−α + ν ∂ 1−β ∂x1−β ) ∂(2)u(x, t) ∂x2 +”
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation (2013, unknown): “1 (i) We note that, in [25, 26, 27], the fractional derivatives in the equation are of order 1− α̃ and 1− β̃ with α̃, β̃ ∈ (0, 1).”