On Continuous Two-Step Hybrid Method for  Singular Initial Value Problems

Dahiru Umar; Adesanya A. Olaide; Pantuvo T. Peter; Abdullahi  Alhassan

doi:10.4314/cajost.v1i2.49

Authors

Dahiru Umar Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria.
Adesanya A. Olaide Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Pantuvo T. Peter Department of Mathematics, Federal University Wukari, Taraba State, Nigeria.
Abdullahi Alhassan Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria

DOI:

https://doi.org/10.4314/cajost.v1i2.49

Keywords:

Singular problems, rational approximate solution, interpolation, collocation, convergent

Abstract

This paper discusses the formulation and implementation of non-linear method for the solution of first order singular initial value problem using collocation and interpolation of rational approximate solution. The continuous method developed is of order 8 and convergent. Numerical examples show that the method is suitable for singular problems whose initial values are not zero