Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations

DOI10.1155/2014/307907zbMath1303.65112OpenAlexW1989790377WikidataQ59045896 ScholiaQ59045896MaRDI QIDQ471629

O. R. Navid Samadi, Emran Tohidi, Stanford Shateyi

Publication date: 17 November 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/307907

zbMATH Keywords

convergenceLotka-Volterra equationsnumerical resultLegendre spectral methodsystems of nonlinear Volterra integral equations of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Population dynamics (general) (92D25) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items

Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type, Spectral collocation methods for fractional multipantograph delay differential equations, Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis, Numerical approach for weakly singular equation with nonlinear delay

Cites Work

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• Fourier operational matrices of differentiation and transmission: introduction and applications
• On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type.
• He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients
• Bessel collocation approach for solving continuous population models for single and interacting species
• Numerical solution of singular IVPs of Lane-Emden type using a modified Legendre-spectral method
• Variational iteration method for solving multispecies Lotka-Volterra equations
• He's homotopy perturbation method for continuous population models for single and interacting species
• Legendre spectral Galerkin method for second-kind Volterra integral equations
• Spectral methods for weakly singular Volterra integral equations with smooth solutions
• Szegö's conjecture on Lebesgue constants for Legendre series
• A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays
• The decomposition method for continuous population models for single and interacting species
• Homotopy perturbation method for solving boundary value problems
• On spectral methods for Volterra-type integro-differential equations
• The spectral method for solving systems of Volterra integral equations
• Optimal control of nonlinear Volterra integral equations via Legendre polynomials
• Mathematical Models in Population Biology and Epidemiology
• An Accurate Solution to the Multispecies Lotka–Volterra Equations
• Spectral Methods
• Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations