Name
Abstract | ||
|---|---|---|
In this paper we consider the variable order time fractional diffusion equation. We adopt the Coimbra variable order (VO) time fractional operator, which defines a consistent method for VO differentiation of physical variables. The Coimbra variable order fractional operator also can be viewed as a Caputo-type definition. Although this definition is the most appropriate definition having fundamental characteristics that are desirable for physical modeling, numerical methods for fractional partial differential equations using this definition have not yet appeared in the literature. Here an approximate scheme is first proposed. The stability, convergence and solvability of this numerical scheme are discussed via the technique of Fourier analysis. Numerical examples are provided to show that the numerical method is computationally efficient. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.04.047 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Numerical method,Variable order time fractional diffusion equation,Stability,Convergence,Solvability,Fourier analysis | Convergence (routing),Order of accuracy,Mathematical optimization,Fourier analysis,Mathematical analysis,Fractional calculus,Operator (computer programming),Numerical analysis,Partial differential equation,Numerical stability,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 22 | 0096-3003 |
Citations | PageRank | References |
24 | 1.32 | 12 |
Authors | ||
5 | ||