Forthcoming articles

 


International Journal of Applied Nonlinear Science

 

These articles have been peer-reviewed and accepted for publication in IJANS, but are pending final changes, are not yet published and may not appear here in their final order of publication until they are assigned to issues. Therefore, the content conforms to our standards but the presentation (e.g. typesetting and proof-reading) is not necessarily up to the Inderscience standard. Additionally, titles, authors, abstracts and keywords may change before publication. Articles will not be published until the final proofs are validated by their authors.

 

Forthcoming articles must be purchased for the purposes of research, teaching and private study only. These articles can be cited using the expression "in press". For example: Smith, J. (in press). Article Title. Journal Title.

 

Articles marked with this shopping trolley icon are available for purchase - click on the icon to send an email request to purchase.

 

Articles marked with this Open Access icon are freely available and openly accessible to all without any restriction except the ones stated in their respective CC licenses.

 

Register for our alerting service, which notifies you by email when new issues of IJANS are published online.

 

We also offer RSS feeds which provide timely updates of tables of contents, newly published articles and calls for papers.

 

International Journal of Applied Nonlinear Science (2 papers in press)

 

Regular Issues

 

  • A hybrid numerical treatment of nonlinear reaction-diffusion equations with memory: A prototypical Fisher-Kolmogorov-Petrovskii-Piskunov equation   Order a copy of this article
    by Okey Oseloka Onyejekwe 
    Abstract: In reaction-diffusion systems with non-standard diffusion, the memory of the transport process causes a coupling of reaction and diffusion. A generalization of the Ficks law has been suggested to account for this coupling. Furthermore, the resultant effects of the interplay of transport , memory and reaction lend themselves to some interesting physics which is still not well understood because the governing equation as well as the accompanying memory integral and nonlinear reaction terms are not always amenable to tidy analytic or numerical expressions. Hence the derivation of a suitable governing integro-differential equation as well as the approximate solution demand a non-standard numerical procedure. The main focus of this work can be seen as a contribution towards this objective. In this report, we develop and apply an hybrid boundary integral-finite element finite difference numerical procedure to investigate an integro-differential-FKPP(Fisher-Kolmogorov-Petrovskii-Piskunov) type kinetics. We also focus on scalar evolution for cases where the reaction coefficient takes on relatively large values. Although we are still far from a rigorous mathematical analysis, it has been found that the numerical results obtained compared favorably with existing benchmark solutions. This not only validates the current numerical formulation but also justifies the physics of the resulting front propagation.
    Keywords: Hybrid numerical formulation; boundary integral; finite element; finite differerence; integro-differential partial differential equation; Fisher-Klomogorov-Petrovskii- Piskunov equation; memory term; nonlinear; reaction-diffusion.

  • Pressure curves for compressible flows with slip through asymmetric local constrictions   Order a copy of this article
    by Salahaldeen Rabba, Katrin Rohlf 
    Abstract: A second-order non-linear differential equation is derived for the pressure of a compressible flow with slip at the wall through a constricted cylinder. The ideal gas equation of state is used, and the Karman-Pohlhausen method is utilized to derive the pressure differential equation from the Navier-Stokes equations of motion for a Newtonian viscous fluid. The solution for pressure is determined numerically and assessed in various flow geometries. This work is an extension of existing assessments in that non-linear terms are kept in the differential equation for pressure, as well as second-order derivative terms. Additionally, wall slip and compressibility are incorporated in the equations, as well as geometries that are asymmetric with respect to the location of maximum constriction.
    Keywords: Pressure; Gradient; Compressible; Stenosis; Navier-Stokes; Slip; Karman-Pohlhausen; Asymmetric.