Applied Mathematics on Science and Engineering

[ Volume-3(2026) & Issue-1 ]

Research Article

An Optimized hybrid one step method for numerical integration of second order initial value problems

  • By Oluwatoyin Ayodele Edwin, Emmanuel Adegbemiro Areo, Sunday Jacob Kayode, Adebayo Oludare Adeniran - 22 May 2026
  • Applied Mathematics on Science and Engineering, Volume : 3(2026), Issue: 1, Pages: 1 - 15
  • https://doi.org/10.65036/amse311
  • Received: 24.02.2026; Accepted: 08.05.2026; Published: 22.05.2026

Abstract: This article presents an optimized hybrid one-step block method for the direct numerical integration of second-order initial value problems (IVPs) of the form y′′ = f (x,y,y′). The method is derived using a power series basis function through Read more