A New Symmetric p-stable Obrechkoff Method with Optimal Phase lag for Oscillatory Problems

  • I. C. Felix School of Engineering and Applied Sciences, Lagos City Polytechnic, Ikeja, Lagos State, Nigeria
  • O. O. Famoofo School of Engineering and Applied Sciences, Lagos City Polytechnic, Ikeja, Lagos State, Nigeria
  • S. M. Akintewe Department of Mathematical Science, Adekunle Ajasin University, Akungba-Akoko, Ondo State, Nigeria
DOI: https://doi.org/10.34198/ejms.1119.105118
Keywords: p-stability, Obrechkoff method, Padé approximation, symmetric, oscillatory, phase-lag error

Abstract

In this paper, we derive a class of symmetric p-stable Obrechkoff methods via Padé approximation approach (PAA) for the numerical solution of special second order initial value problems (IVPs) in ordinary differential equations (ODEs). We investigate periodicity analysis on the proposed scheme to verify p-stability property. The new algorithms possess minimum phase-lag error which shows that they can accurately solve oscillatory problems. Reports on several numerical experiments are provided to illustrate the accuracy of the method.

Published
2019-01-21
How to Cite
Felix , I. C., Famoofo , O. O., & Akintewe , S. M. (2019). A New Symmetric p-stable Obrechkoff Method with Optimal Phase lag for Oscillatory Problems . Earthline Journal of Mathematical Sciences, 1(1), 105-118. https://doi.org/10.34198/ejms.1119.105118
Issue
Vol 1 No 1 (2019)
Section
Articles


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