Ebimene James Mamadu, Jude Chukwuyem Nwankwo, Newton Ighomaro Okposo, Ebikonbo-owei Anthony Mamadu, Nkonyeasua Ignatius Njoseh, Henrietta Ify Ojarikre & Jonathan Tsetimi·Advances in Research·2026
A boundary-adapted Crank–Nicolson-induced Mamadu–Njoseh basis-functions (CN-MNBF) framework is developed for the numerical solution of one-dimensional parabolic partial differential equations. The method combines a weighted Mamadu–Njoseh polynomial approximation in space with Cra...
Open access
Research Article10.9734/air/2026/v27i61751
Ebimene James Mamadu, Jude Chukwuyem Nwankwo, Inonoje S.O. Emmanuel, Otaide I. Jackson, Ebikonbo-Owei A. Mamadu, Amaka Joyce Mamadu, Irerhievwie Oghenetega Stephen, Ignatius Nkonyeasua Njoseh, Henrietta Ify Ojarikre & Jonathan Tsetimi·Advances in Research·2026
Fractional partial differential equations have gained significant attention in recent years due to their ability to model complex physical phenomena involving memory effects and anomalous transport processes. The Mamadu Transform provides an effective analytical framework for sol...
Open access
Research Article10.9734/air/2026/v27i31636
This study numerically compares the Mamadu Δ³ iterative scheme with the Newton–Raphson method for solving nonlinear polynomial equations. The comparison considers their mathematical formulation, iterative implementation, convergence behaviour, derivative requirements, and numeric...
Open access
Research Article10.9734/jsrr/2026/v32i104561