Mamadu-Njoseh Polynomial-Based Projected Heun Method for Solving Initial Value Problems

Mamadu-Njoseh Polynomial-Based Projected Heun Method for Solving Initial Value Problems

Authors

  • Ebimene Mamadu Delta State University, Abraka
  • Jude Chukwuyem Nwankwo2 Department of Mathematics, University of Delta, Agbor, Nigeria
  • Inonoje S.O.Emmanuel Department of Mathematics, Southern Delta University, Ozoro, Nigeria
  • Otaide I. Jackson Federal University of Petroleum Resources, Effurun, Delta State, Nigeria
  • Ebikonbo-Owei A. Mamadu Department of Mathematics, Delta State University, Abraka, Nigeria
  • Irerhievwie Oghenetega Stephen Department of General Studies, Petroleum Training Institute, Effurun, Delta State, Nigeria
  • Henrietta Ify Ojarikre Department of Mathematics, Delta State University, Abraka, Nigeria
  • Ignatius Nkonyeasua Njoseh Department of Mathematics, Delta State University, Abraka, Nigeria

DOI:

https://doi.org/10.32792/jeps.v16i2.889

Keywords:

Heun’s method, Initial value problems, Mamadu-Njoseh polynomials, Projection, Stability, Differential equations

Abstract

This paper introduces a Projected Heun Scheme (PHS) based on Mamadu-Njoseh polynomials for solving linear and nonlinear Initial Value Problems (IVPs). The scheme preserves the second-order convergence of the classical Heun method but achieves faster convergence and improved accuracy, particularly for nonlinear and oscillatory systems. A detailed stability analysis confirms its wider stability region, making it a robust and efficient tool for high-precision numerical solution of IVPs in computational science and applied mathematics.

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Published

2026-06-01

Issue

Vol. 16 No. 2 (2026): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

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Copyright (c) 2026 Journal of Education for Pure Science

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