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

HASSAN USMAN KATSINA POLYTECHNIC (NCE), KATSINA, KATSINA STATE 4
Hassan Usman Katsina Polytechnic, Katsina, Katsina State 5
Heritage Polytechnic, Ikot Udota, Akwa Ibom State 46
Hussaini Adamu Federal Polytechnic, Kazaure, Jigawa State 8
Ibrahim Badamasi Babangida University, Lapai, Niger State 24
Igbinedion University, Okada, Benin City, Edo State 2
Ignatius Ajuru University of Education, Port Harcourt, Rivers State 8
Imo State Polytechnic, Umuagwo, Owerri, Imo State 2
Imo State University, Owerri, Imo State 45
Institute of Management and Technology, Enugu, Enugu State 11