📄 Research Article
AJSM Vol. 6, No. 6 (2020)
TWO STEP FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ARISING FROM DYNAMICAL SYSTEMS
Adesoji Abraham OBAYOMI 1 & Michael Olufemi OKE 1 & Samuel Olukayode AYINDE 1 & Adewale Emmanuel ADENIPEKUN 2 & Olu Sunday ADETOLAJU 3
1 Department of Mathematics, Ekiti State University, Ado – Ekiti, Nigeria.
2 Department of Statistics, Federal Polytechnic, Ede, Osun State, Nigeria.
3 Department of Computer Science, Ekiti State University, Ado – Ekiti, Nigeria.
2 Department of Statistics, Federal Polytechnic, Ede, Osun State, Nigeria.
3 Department of Computer Science, Ekiti State University, Ado – Ekiti, Nigeria.
Open Access
Peer Reviewed
Research Article
Abstract
This paper presents a new set of two step finite difference scheme for the numerical solution of some initial value second order ordinary differential equations arising from dynamical systems. We applied a combination of non-standard transformation of the differential components and an interpolation function to create a new simulation model that can be used to approximate the dynamics of a physical phenomenon whose state equations can be represented by second order ordinary differential equations. The resulting scheme have been applied to some initial value problems and has been shown to be very suitable to a class of second order ordinary differential equations with vanishing velocity components. The schemes have been found to possess desirable qualitative properties and it converges to the analytical solution.
Keywords:
Non-standard method, Hybrid, Interpolation function, Standard finite difference method, Dynamical model
📑 How to Cite This Article
APA 7th Edition:
Adesoji Abraham OBAYOMI, Michael Olufemi OKE, Samuel Olukayode AYINDE, Adewale Emmanuel ADENIPEKUN, Olu Sunday ADETOLAJU (2020). TWO STEP FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ARISING FROM DYNAMICAL SYSTEMS. Academic Journal of Statistics and Mathematics, 6(6), 1-7. https://doi.org/
Adesoji Abraham OBAYOMI, Michael Olufemi OKE, Samuel Olukayode AYINDE, Adewale Emmanuel ADENIPEKUN, Olu Sunday ADETOLAJU (2020). TWO STEP FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ARISING FROM DYNAMICAL SYSTEMS. Academic Journal of Statistics and Mathematics, 6(6), 1-7. https://doi.org/
Vancouver Style:
Adesoji Abraham OBAYOMI, Michael Olufemi OKE, Samuel Olukayode AYINDE, Adewale Emmanuel ADENIPEKUN, Olu Sunday ADETOLAJU. TWO STEP FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ARISING FROM DYNAMICAL SYSTEMS. Acad. J. Stat. Math.. 2020;6(6):1-7. DOI:
Adesoji Abraham OBAYOMI, Michael Olufemi OKE, Samuel Olukayode AYINDE, Adewale Emmanuel ADENIPEKUN, Olu Sunday ADETOLAJU. TWO STEP FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ARISING FROM DYNAMICAL SYSTEMS. Acad. J. Stat. Math.. 2020;6(6):1-7. DOI:
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