Fully spectral collocation method for nonlinear parabolic partial integro-differential equations

DOI10.1016/j.apnum.2017.08.007zbMath1377.65169OpenAlexW2750858826MaRDI QIDQ1675497

Farhad Fakhar-Izadi, Mehdi Dehghan

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.08.007

zbMATH Keywords

convergencenumerical examplenonlinearerror estimateVolterra integro-differential equationspartial integro-differential equationsFredholm integro-differential equationsGauss quadrature formulasLegendre-spectral methodcomplex-step derivative

Mathematics Subject Classification ID

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

Related Items (9)

Legendre spectral element method for solving Volterra-integro differential equations ⋮ A space-time spectral method for multi-dimensional Sobolev equations ⋮ Two-grid scheme of expanded mixed finite element method for semilinear parabolic integro-differential equations ⋮ Two‐dimensional collocation method for generalized partial integro‐differential equations of fractional order with applications ⋮ Müntz pseudo-spectral method: theory and numerical experiments ⋮ A time-spectral method for initial-value problems using a novel spatial subdomain scheme ⋮ Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation ⋮ A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials ⋮ Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis

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