Newton Ighomaro Okposo

A Boundary-Adapted Crank–Nicolson-Induced Mamadu–Njoseh Basis Functions for the Solution of Parabolic Partial Differential Equations

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...