American Journal of Applied Mathematics

Volume 13, Issue 2, April 2025

  • Research Article

    A Block-based Linear Multistep Formula for Directly Solving Nonlinear Fourth-order Initial Value Problems of ODEs

    Duromola Monday Kolawole, Momoh Adelegan Lukuman*, Akingbodi Oluwagbenga Joseph

    Issue: Volume 13, Issue 2, April 2025
    Pages: 103-116
    Received: 13 January 2025
    Accepted: 27 January 2025
    Published: 27 February 2025
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    Abstract: This paper suggested a block-based linear multistep formula for directly solving nonlinear fourth-order initial value problems of ordinary differential equations (ODEs). The method was achieved by applying collocation and interpolation techniques to a first-kind Chebyshev polynomial. A continuous scheme was constructed through this procedure from w... Show More
  • Research Article

    Navigating the Fourth Dimension: Relativity and Perception Through a 3D Lens

    Charde’Lyce Edwards*

    Issue: Volume 13, Issue 2, April 2025
    Pages: 117-124
    Received: 22 January 2025
    Accepted: 5 February 2025
    Published: 11 March 2025
    DOI: 10.11648/j.ajam.20251302.12
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    Abstract: Perception is inherently constrained by dimensionality, limiting a three-dimensional (3D) observer’s ability to interpret four-dimensional (4D) structures. While human experience is confined to three spatial dimensions with time perceived as a linear progression, relativistic principles—such as Lorentz transformations and spacetime curvature—sugges... Show More