Some comparison of solutions by different numerical techniques on mathematical biology problem
type: Item
instance of: scholarly article
title: Some comparison of solutions by different numerical techniques on mathematical biology problem
zbMATH Open document ID: 1487.65088
DOI: 10.1155/2016/8921710
author: Susmita Paul
author: Sankar Prasad Mondal
author: Paritosh Bhattacharya
author: Kripasindhu Chaudhuri
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: We try to compare the solutions by some numerical techniques when we apply the methods on some mathematical biology problems. The Runge-Kutta-Fehlberg (RKF) method is a promising method to give an approximate solution of nonlinear ordinary differential equation systems, such as a model for insect population, one-species Lotka-Volterra model. The technique is described and illustrated by numerical examples. We modify the population models by taking the Holling type III functional response and intraspecific competition term and hence, we solve it by this numerical technique and show that the RKF method gives good results. We try to compare this method with the Laplace Adomian decomposition method (LADM) and with the exact solutions.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6915919
zbMATH Keywords: Runge-Kutta-Fehlberg method
zbMATH Keywords: population models
zbMATH Keywords: Holling type III functional response
zbMATH Keywords: intraspecific competition term
Wikidata QID: Q59124266
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8921710
OpenAlex ID: W2560275156
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description: scientific article; zbMATH DE number 6915919