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

Abdul-Gusau Polytechnic, Talata-Mafara, Zamfara State 3
Abia State Polytechnic, Aba, Abia State 24
Abia State University, Uturu, Abia State 71
Abraham Adesanya Polytechnic, Ijebu-Igbo, Ogun State 3
Abubakar Tafawa Balewa University, Bauchi, Bauchi State 15
Abubakar Tatari Ali Polytechnic, Bauchi State. (affiliated To Atbu Bauchi) 1
Achievers University, Owo, Ondo State 6
Adamawa State University, Mubi, Adamawa State 8
Adekunle Ajasin University, Akungba-Akoko, Ondo State 26
Adeleke University, Ede, Osun State 1