Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

DOI10.4208/aamm.2015.m1088zbMath1488.65758OpenAlexW2405981400MaRDI QIDQ5153673

Xiulian Shi, Yanping Chen

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.4208/aamm.2015.m1088

zbMATH Keywords

Volterra integro-differential equationsweakly singular kernelpantograph delayspectral Jacobi-collocation method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05)

Related Items (11)

Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels ⋮ Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels ⋮ Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel ⋮ High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels ⋮ Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels ⋮ Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations ⋮ Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations ⋮ A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations

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