Abstract We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equation posed over a bounded spatial domain. Such estimates are needed for the analysis of effective numerical methods, particularly since the solution is typically less regular than in the familiar case of classical diffusion.
The ANZIAM Journal Template
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About the The ANZIAM Journal format
The ANZIAM Journal is a peer-reviewed journal published by Cambridge University Press, covering Diverse Scientific and Economic Studies, Legal Cases and Commentary, Educational Robotics and Engineering.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, The ANZIAM Journal 12 (2023) 45–58.
Formats any DOI in the closest standard style — The ANZIAM Journal has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Diverse Scientific and Economic Studies Legal Cases and Commentary Educational Robotics and Engineering Mathematical and Theoretical Epidemiology and Ecology Models Stochastic processes and financial applications |
| ISSN | 1446-1811 |
| Citation impact (2-yr) | 0.8 |
| h-index | 30 |
| i10-index | 160 |
| Total citations | 5,591 |
| Top institutions publishing here | University of Tasmania |
| Journal website | journals.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in The ANZIAM Journal per year
Citation impact of The ANZIAM Journal by publication year
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Most-cited papers in The ANZIAM Journal
Abstract The time fractional diffusion equation with appropriate initial and boundary conditions in an n -dimensional whole-space and half-space is considered. Its solution has been obtained in terms of Green functions by Schneider and Wyss. For the problem in whole-space, an explicit representation of the Green functions can also be obtained. However, an explicit representation…
Abstract A Chebyshev pseudo-spectral method for solving numerically linear and nonlinear fractional-order integro-differential equations of Volterra type is considered. The fractional derivative is described in the Caputo sense. The suggested method reduces these types of equations to the solution of linear or nonlinear algebraic equations. Special attention is given to study the convergence of the…
Abstract A multispecies harvesting model with interference is proposed. The model is based on Lotka-Volterra dynamics with two competing species which are affected not only by harvesting but also by the presence of a predator, the third species. In order to understand the dynamics of this complicated system, we choose to model the simplest possible…
Abstract A disease transmission model of SEIR type with exponential demographic structure is formulated, with a natural death rate constant and an excess death rate constant for infective individuals. The latent period is assumed to be constant, and the force of the infection is assumed to be of the standard form, namely, proportional to I(t)…