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

Redeemers University, Ede, Osun State 4
Rhema University, Aba, Abia State 11
Rivers State University of Science and Technology, Port Harcourt, Rivers State 3
RIVERS STATE UNIVERSITY, PORT HARCOURT, RIVERS STATE 13
Rufus Giwa Polytechnic, Owo, Ondo State 2
Saadatu Rimi College of Edu, Kumbotso, Kano State (affiliated To Abu, Zaria) 1
Salem University, Lokoja, Kogi State 4
School of Health Information Mgt (Uch, Ibadan), Oyo State 5
School of Health Information Mgt, Oau Teaching Hospital, Ile-Ife, Osun State 30
Skyline University Nigeria, Kano, Kano State 2