Development of a Coparative Study of Using Standard and Non Standard Methods for Solving Some Boundary Value Problems

Student: Kabiru Olajide Shehu (Project, 2025)
Department of Mathematics
Ekiti State University, Ado-Ekiti, Ekiti State

Abstract

In this study, a basis function is designed and used as an interpolant for the derivation of standard and non-standard schemes. These schemes can be used for the solution of initial value problems. The schemes were tested on initial value problem and found to be very close to the exact solution, with the non-standard scheme performing better than the standard scheme when their results were compared with the exact solutions.

Keywords

Basis function interpolant derivation standard non-standard schemes solution initial value problems exact solution

For the full publication, please contact the author directly at: shehukabiru61@gmail.com

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Institutions

Al-Hikmah University, Ilorin, Kwara State 2
AL-ISTIQAMAH UNIVERSITY, SUMAILA, KANO STATE 1
Al-Qalam University, Katsina, Katsina State 5
Alex Ekwueme Federal University, Ndufu-Alike, Ebonyi State 86
Alvan Ikoku College of Education, Imo State, (Affl To Univ of Nigera, Nsukka) 11
Ambrose Alli University, Ekpoma, Edo State 477
Anambra State College of Health Technology, Obosi, Anambra State 1
Auchi Polytechnic, Auchi, Edo State 501
Auchi Polytechnic, Auchi, Edo State. (affl To Nnamdi Azikiwe University, Awka) 3
Audu Bako College of Agriculture Danbatta, Kano, Kano State 54