Orthogonal-Based Second Order Hybrid Initial Value Problem Solver

Authors

  • E. O. Adeyefa Department of Mathematics, Federal University Oye-Ekiti, P.M.B. 373, Oye-Ekiti, Ekiti State, Nigeria,
  • L. S. Akinola Department of Mathematics, Federal University Oye-Ekiti, P.M.B. 373, Oye-Ekiti, Ekiti State, Nigeria,
  • R. O. Folaranmi Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Kwara State, Nigeria.
  • Y. T. Owolabi Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Kwara State, Nigeria.

DOI:

https://doi.org/10.53704/fujnas.v5i2.102

Abstract

This work focuses on development of an initial value problem solver by employing a new class of orthogonal
polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to develop the method. The method was analyzed for its basic properties and findings show that the method is accurate and convergent.AMS Subject Classification: 65L05, 65L06

Keywords: Orthogonal polynomials, Algorithm, Block method, Collocation, Interpolation, Zero-Stable.

References

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Published

2016-12-30

How to Cite

Orthogonal-Based Second Order Hybrid Initial Value Problem Solver. (2016). Fountain Journal of Natural and Applied Sciences, 5(2). https://doi.org/10.53704/fujnas.v5i2.102