The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets

DOI10.1016/j.apnum.2023.11.018OpenAlexW4388923737MaRDI QIDQ6131514

Mahmood Khaksar-e Oshagh, Arash Goligerdian

Publication date: 5 April 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.11.018

zbMATH Keywords

Galerkin methodintegral equationimmigrationLegendre waveletspopulation modeldelay parameter

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for wavelets (65T60) Volterra integral equations (45D05)

Cites Work

• Least squares approximation method for the solution of Hammerstein-Volterra delay integral equations
• A Taylor collocation method for solving delay integral equations
• Numerical solutions for functional integral equations with state- dependent delay
• An epidemic equation with immigration
• A periodicity threshold theorem for epidemics and population growth
• A delay differential equation model for tumor growth
• An implementation of fast wavelet Galerkin methods for integral equations of the second kind
• Delay effect in models of population growth
• Numerical solutions of delay Volterra integral equations using single-term Walsh series approach
• A delay-differential equation model of HIV related cancer-immune system dynamics
• High-order collocation methods for nonlinear delay integral equation
• A spectral method for a weakly singular Volterra integro-differential equation with pantograph delay
• Numerical analysis of a high order method for state-dependent delay integral equations
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis
• On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets
• The Legendre wavelets operational matrix of integration
• Solving linear integro-differential equation with Legendre wavelets
• The Discrete Galerkin Method for Integral Equations
• A Discrete Collocation-Type Method for Hammerstein Equations
• Ten Lectures on Wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• A Model of Single Species Population Growth
• Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• The Numerical Solution of Integral Equations of the Second Kind
• Numerical solutions for nonlinear fredholm integral equations of the second kind and their superconvergence
• A New Collocation-Type Method for Hammerstein Integral Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• The Numerical Evaluation of Fixed Points for Completely Continuous Operators
• A new approach for Volterra functional integral equations with non-vanishing delays and fractional Bagley-Torvik equationss
• The discrete Petrov-Galerkin method for weakly singular integral equations