An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics

DOI10.1002/mma.2698zbMath1279.65143OpenAlexW2142539113MaRDI QIDQ2857519

Mehdi Dehghan, Farhad Fakhar-Izadi

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2698

zbMATH Keywords

convergenceconvolutionnumerical examplesfast Fourier transformquadrature formulareaction-diffusion equationsemi-implicit time integrationbackward differentiation formulaAdams-Bashforth methodChebyshev-Gauss-Lobatto pointsnonlinear partial integro-differential equationpseudo-spectral Legendre-Galerkin methodSchur matrix decomposition method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

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Uses Software

• Matlab

Cites Work

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