Legendre spectral collocation method for the solution of the model describing biological species living together

DOI10.1016/j.cam.2015.09.011zbMath1328.45011OpenAlexW1550587116MaRDI QIDQ898931

P. K. Sahu, Santanu Saha Ray

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.011

zbMATH Keywords

integro-differential equationsBernstein polynomialsGauss-Legendre quadrature

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (11)

Collocation method for generalized Abel's integral equations ⋮ Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate ⋮ Single term Walsh series method for the system of nonlinear delay Volterra integro-differential equations describing biological species living together ⋮ A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations ⋮ Crank-Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel ⋮ Bernstein collocation method for neutral type functional differential equation ⋮ An operational matrix based scheme for numerical solutions of nonlinear weakly singular partial integro-differential equations ⋮ A stable minimal search method for solving multi-order fractional differential equations based on reproducing kernel space ⋮ A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations ⋮ Population dynamics between a prey and a predator using spectral collocation method ⋮ A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations

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