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

Sokoto State University, Sokoto, Sokoto State 42
St. Albert The Great Major Seminary, Abeokuta. (affl. To University of Benin) 1
Sule Lamido University, Kafin Hausa, Jigawa State 4
Tai Solarin University of Education, Ijagun, Ogun State 18
Tansian University, Oba, Anambra State 1
Taraba State University, Jalingo, Taraba State 32
Temple-Gate Polytechnic, Osisioma, Abia State 1
The Oke-Ogun Polytechnic, Saki, Oyo State 6
The Polytechnic, Ibadan, Oyo State 13
THOMAS ADEWUMI UNIVERSITY, OKO-IRESE, KWARA STATE 1