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

Landmark University, Omu-Aran, Kwara State 1
Lead City University, Ibadan, Oyo State 1
Lens Polytechnic, offa, Kwara State. 214
Madonna University, Elele, Rivers State 20
Madonna University, Okija, Anambra State 2
Mcpherson University, Seriki Sotayo, Ogun State 1
Michael and Cecilia Ibru University, Owhrode, Delta State 1
Michael Okpara University of Agriculture, Umudike 43
Michael Otedola Col of Primary Educ. Epe, Lagos (affl To University of Ibadan) 8
Modibbo Adama University, Yola, Adamawa State 15