International Journal of Theoretical and Applied Mathematics

Volume 10, Issue 3, June 2024

  • Research Article

    Characterization of a Large Family of Convergent Series That Leads to a Rapid Acceleration of Slowly Convergent Logarithmic Series

    Joseph Gaskin*

    Issue: Volume 10, Issue 3, June 2024
    Pages: 33-37
    Received: 3 September 2024
    Accepted: 19 September 2024
    Published: 10 October 2024
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    Abstract: Logarithmic series are known to have a very slow rate of convergence. For example, it takes more than the first 20,000 terms of the sum of the reciprocals of squares of the natural numbers to attain 5 decimal places of accuracy. In this paper, I will devise an acceleration scheme that will yield the same level of accuracy with just the first 400 te... Show More
  • Research Article

    The Upshots of Dufour and Soret in Stretching Porous Flow of Convective Maxwell Nanofluid with Nonlinear Thermal Emission

    Michael Williams*, Isah Bala Yabo

    Issue: Volume 10, Issue 3, June 2024
    Pages: 38-50
    Received: 15 August 2024
    Accepted: 6 September 2024
    Published: 18 October 2024
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    Abstract: In this paper, the combined upshot of Soret and Dufoue of a convective Maxwell nanofluid on a porous perpendicular surface with nonlinear thermal emission was investigated. In the present work, the impact of permeable stretching sheet, nonlinear thermal emission, heat sour sink, Dufour and Soret effect, chemical reaction, Brownian motion and thermo... Show More