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

Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 1

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.

Authors and Affiliations

I. C. Felix, O. O. Famoofo, S. M. Akintewe

Keywords

Related Articles

Variational Iteration Algorithm-I with an Auxiliary Parameter for Solving Fokker-Planck Equation

In this paper, variational iteration algorithm-I with an auxiliary parameter is implemented to investigate Fokker-Planck equations. To show the accuracy and reliability of the technique comparisons are made between the v...

Sensitivity Analysis and Stabilization for Two Dynamical Systems

This paper focuses on the sensitivity analysis for two dominant political parties. In contrast to Misra, Bazuaye and Khan, who developed the model without investigating the impact of varying the initial state of politica...

Exact Solutions for (2+1)-dimensional Nonlinear Schrödinger Equation Based on Modified Extended tanh Method

In this paper, modified extended tanh method is used to construct more general exact solutions of a (2+1)-dimensional nonlinear Schrödinger equation. With the aid of Maple and Matlab software, we obtain exact explicit ki...

Some New Kulli-Basava Topological Indices

Recently, Kulli-Basava indices were introduced and studied their mathematical and chemical properties which have good response with mean isomer degeneracy. In this paper, we introduce the modified first and second Kulli-...

On the Convergence Region of Multi-step Chebyshev-Halley-type Schemes for Solving Equations

The aim of this article is to extend the convergence region of certain multi-step Chebyshev-Halley-type schemes for solving Banach space valued nonlinear equations. In particular, we find an at least as small region as t...

Download PDF file
  • EP ID EP463422
  • DOI 10.34198/ejms.1119.105118
  • Views 220
  • Downloads 0

How To Cite

I. C. Felix, O. O. Famoofo, S. M. Akintewe (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://europub.co.uk/articles/-A-463422