New hybrid two-step method for simulating lotka-volterra model

Noor Ashikin Othman, Mohammad Khatim Hasan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Simulating Lotka-Volterra model using numerical method require researchers to apply tiny mesh sizes to obtain an accurate result. This approach nevertheless increases the complexity and burden of computer memory and consume long computational time. To overcome these issues, we investigate and construct new two-step solver that could simulate Lotka-Volterra model using bigger mesh size. This paper proposes three new two-step schemes to simulate Lotka-Volterra model. A non-standard approximation scheme with trimean approach was adopted. The nonlinear terms in the model is approximated via trimean approach and differential equation via non-standard denominators. Four sets of parameters were examined to analyse the performance of these new schemes. Results show that these new schemes provide better simulation for large mesh size.

Original languageEnglish
Pages (from-to)115-124
Number of pages10
JournalPertanika Journal of Science and Technology
Volume25
Issue numberS6
Publication statusPublished - 1 Jun 2017

Fingerprint

Lotka-Volterra model
Two-Hybrid System Techniques
mesh size
Research Personnel
numerical method
methodology
Numerical methods
Differential equations
researchers
Data storage equipment
simulation
method

Keywords

  • Lotka-volterra
  • Nonstandard method
  • Trimean approach
  • Two-step method

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemical Engineering(all)
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)

Cite this

New hybrid two-step method for simulating lotka-volterra model. / Othman, Noor Ashikin; Hasan, Mohammad Khatim.

In: Pertanika Journal of Science and Technology, Vol. 25, No. S6, 01.06.2017, p. 115-124.

Research output: Contribution to journalArticle

@article{9a5aa0d5bc8545fe92af3facf1069ca3,
title = "New hybrid two-step method for simulating lotka-volterra model",
abstract = "Simulating Lotka-Volterra model using numerical method require researchers to apply tiny mesh sizes to obtain an accurate result. This approach nevertheless increases the complexity and burden of computer memory and consume long computational time. To overcome these issues, we investigate and construct new two-step solver that could simulate Lotka-Volterra model using bigger mesh size. This paper proposes three new two-step schemes to simulate Lotka-Volterra model. A non-standard approximation scheme with trimean approach was adopted. The nonlinear terms in the model is approximated via trimean approach and differential equation via non-standard denominators. Four sets of parameters were examined to analyse the performance of these new schemes. Results show that these new schemes provide better simulation for large mesh size.",
keywords = "Lotka-volterra, Nonstandard method, Trimean approach, Two-step method",
author = "Othman, {Noor Ashikin} and Hasan, {Mohammad Khatim}",
year = "2017",
month = "6",
day = "1",
language = "English",
volume = "25",
pages = "115--124",
journal = "Pertanika Journal of Science and Technology",
issn = "0128-7680",
publisher = "Universiti Putra Malaysia",
number = "S6",

}

TY - JOUR

T1 - New hybrid two-step method for simulating lotka-volterra model

AU - Othman, Noor Ashikin

AU - Hasan, Mohammad Khatim

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Simulating Lotka-Volterra model using numerical method require researchers to apply tiny mesh sizes to obtain an accurate result. This approach nevertheless increases the complexity and burden of computer memory and consume long computational time. To overcome these issues, we investigate and construct new two-step solver that could simulate Lotka-Volterra model using bigger mesh size. This paper proposes three new two-step schemes to simulate Lotka-Volterra model. A non-standard approximation scheme with trimean approach was adopted. The nonlinear terms in the model is approximated via trimean approach and differential equation via non-standard denominators. Four sets of parameters were examined to analyse the performance of these new schemes. Results show that these new schemes provide better simulation for large mesh size.

AB - Simulating Lotka-Volterra model using numerical method require researchers to apply tiny mesh sizes to obtain an accurate result. This approach nevertheless increases the complexity and burden of computer memory and consume long computational time. To overcome these issues, we investigate and construct new two-step solver that could simulate Lotka-Volterra model using bigger mesh size. This paper proposes three new two-step schemes to simulate Lotka-Volterra model. A non-standard approximation scheme with trimean approach was adopted. The nonlinear terms in the model is approximated via trimean approach and differential equation via non-standard denominators. Four sets of parameters were examined to analyse the performance of these new schemes. Results show that these new schemes provide better simulation for large mesh size.

KW - Lotka-volterra

KW - Nonstandard method

KW - Trimean approach

KW - Two-step method

UR - http://www.scopus.com/inward/record.url?scp=85044185613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044185613&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85044185613

VL - 25

SP - 115

EP - 124

JO - Pertanika Journal of Science and Technology

JF - Pertanika Journal of Science and Technology

SN - 0128-7680

IS - S6

ER -