An accurate hybrid block technique for second order singular problems in ordinary differential equations

  • M. O. Ogunniran Osun State University
  • N. A. Tijani Osun State University
  • K. A. Adedokun Osun State University
  • K. O. O.Kareem Osun State University
Keywords: Orthogonal polynomial, Singular problems, Hybrid block method, Weight function, Basis function, Countinuous scheme

Abstract

A block hybrid method for solution of second order singular problems in ordinary differential equations is proposed in this work. For this purpose, two basis functions were combined for the development of a continuous hybrid schemes using collocation and interpolation technique. To make the continuous scheme self-starting, a block method of discrete hybrid form was derived. The scheme was analyzed using appropriate existing definitions to investigate their stability, consistency and convergence which were then shown to be consistent, zero-stable and hence convergent. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results have been compared with those of existing methods.

Author Biographies

M. O. Ogunniran, Osun State University

Department of Mathematical Sciences, Osun State University, Osogbo Osun State, Nigeria.

N. A. Tijani, Osun State University

Department of Mathematical Sciences, Osun State University, Osogbo Osun State, Nigeria.

K. A. Adedokun, Osun State University

Department of Mathematical Sciences, Osun State University, Osogbo Osun State, Nigeria

K. O. O.Kareem, Osun State University

Department of Mathematical Sciences, Osun State University, Osogbo Osun State, Nigeria

Published
2022-05-18
How to Cite
Ogunniran, M., Tijani, N., Adedokun, K., & O.Kareem, K. (2022). An accurate hybrid block technique for second order singular problems in ordinary differential equations. African Journal of Pure and Applied Sciences, 3(1), 144-154. https://doi.org/10.33886/ajpas.v3i1.257