High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels

DOI10.1016/j.amc.2020.125866OpenAlexW3117671761WikidataQ115361155 ScholiaQ115361155MaRDI QIDQ2242092

Emran Tohidi, Guoting Deng, Yin Yang

Publication date: 9 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125866

zbMATH Keywords

Jacobi polynomialsanalysis of convergenceweak singularityVolterra delay integro-differential equationsspectral and pseudo-spectral Galerkin methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)

Related Items (10)

A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations ⋮ Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials ⋮ Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher's equation ⋮ Spectral collocation methods for fractional multipantograph delay differential equations ⋮ Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮ A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations ⋮ Numerical approach for weakly singular equation with nonlinear delay ⋮ Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations ⋮ The operational matrix of Chebyshev polynomials for solving pantograph-type Volterra integro-differential equations ⋮ The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions

Cites Work

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• Convergence analysis of spectral Galerkin methods for Volterra type integral equations
• Jacobi spectral Galerkin methods for fractional integro-differential equations
• Spectral methods for pantograph-type differential and integral equations with multiple delays
• Legendre spectral Galerkin method for second-kind Volterra integral equations
• The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
• New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system
• Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation
• Spectral Jacobi-Galerkin methods and iterated methods for Fredholm integral equations of the second kind with weakly singular kernel
• Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis
• Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels
• JACOBI SPECTRAL GALERKIN METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNEL
• Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations
• Spectral Methods
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels
• Spectral Methods
• Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey

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