American Journal of Applied Mathematics

Archive

Volume 10, Issue 5, October 2022

  • Accounting for Propensity Score Variability in IPTW Weighted Cox Proportional Hazards Regression and Risk Estimation

    Michael Richard Crager

    Issue: Volume 10, Issue 5, October 2022
    Pages: 176-204
    Received: 6 September 2022
    Accepted: 4 October 2022
    Published: 17 October 2022
    DOI: 10.11648/j.ajam.20221005.11
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    Abstract: Under the assumption of no unmeasured confounders, Cox proportional hazards regression with inverse probability of treatment (IPTW) weighting based on propensity scores can be used to produce approximately unbiased estimates of treatment effect hazard ratios and event risks using observational cohorts. Often the weights are treated as fixed even th... Show More
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  • On the Caginalp for a Conserved Phase-Field with Two Temperatures

    Narcisse Batangouna, Cyr Séraphin Ngamouyih Moussata, Urbain Cyriaque Mavoungou

    Issue: Volume 10, Issue 5, October 2022
    Pages: 205-211
    Received: 15 December 2021
    Accepted: 7 March 2022
    Published: 24 October 2022
    DOI: 10.11648/j.ajam.20221005.12
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    Abstract: The general theme of this article is the theorical study of phase field systems, more precisely that of Caginalp. This work is motivated by their immense applications in many physical fields, industriels… The Caginalp problem gives the authors a formulation based on the fact that the phases separated by an unknown regular interface, which evolves i... Show More
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  • Heat and Mass Transfer Effects on Unsteady Magnetohydrodynamics Stokes Free-Convective Flow Past an Infinite Vertical Porous Plate in a Rotating System

    Mayaka Augustine Ayanga, Mathew Ngugi Kinyanjui, Jeconia Okelo Abonyo, Johana Kibet Sigey

    Issue: Volume 10, Issue 5, October 2022
    Pages: 212-222
    Received: 30 August 2022
    Accepted: 12 October 2022
    Published: 24 October 2022
    DOI: 10.11648/j.ajam.20221005.13
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    Abstract: In this paper, Stokes first problem for an unsteady MHD free convective flow of a viscous incompressible fluid past an infinite vertical porous plate in the presence of a transverse variable magnetic field in a rotating system has been studied. The dimensionless governing partial differential equations are solved numerically by the finite differenc... Show More
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