Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels

DOI10.1007/s40314-020-01352-yzbMath1476.34045OpenAlexW3093021240WikidataQ115373781 ScholiaQ115373781MaRDI QIDQ1983790

Emran Tohidi, Zhuyan Tang, Fu Li He

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-020-01352-y

zbMATH Keywords

Volterra integro-differential equationsspectral collocation methodweak singularitynoncompact kernelsgeneralized mapped Laguerre functions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral and related methods applied to problems in solid mechanics (74S25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Acceleration of convergence in numerical analysis (65B99)

Related Items (4)

A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations ⋮ Generalized Bernoulli-Laguerre polynomials: applications in coupled nonlinear system of variable-order fractional PDEs ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations

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