Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method
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Publication:5031846
DOI10.1080/00207160.2018.1484112zbMath1481.65269OpenAlexW2807349427MaRDI QIDQ5031846
Azzeddine Bellour, Mahmoud Bousselsal, Hafida Laib
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1484112
convergence analysiscollocation methodTaylor polynomialshigh-order linear Volterra integro-differential equation
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05)
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Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic ⋮ Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations ⋮ Unnamed Item ⋮ Iterative Continuous Collocation Method for Solving nonlinear Volterra Integro-differential Equations ⋮ A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order ⋮ Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method
Cites Work
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- Solving Volterra integral equations of the second kind by sigmoidal functions approximation
- A Taylor collocation method for solving delay integral equations
- Bessel polynomial solutions of high-order linear Volterra integro-differential equations
- A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
- He's homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations
- Travelling waves for integro-differential equations in population dynamics
- Collocation methods for second-order Volterra integro-differential equations
- On the numerical solution of an integro-differential equation arising from wave-power hydraulics
- Differential models of hysteresis
- Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
- Polynomial spline collocation methods for second-order Volterra integrodifferential equations
- Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems
- Numerical solution of a class of integro-differential equations by the tau method with an error estimation
- Numerical solution of Abel's integral equation by using Legendre wavelets
- Application of He's homotopy perturbation method to nonlinear integro-differential equations
- Numerical solution of the nonlinear Volterra integro-differential equations by the tau method
- A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions
- Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation
- Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
- Haar wavelet method for nonlinear integro-differential equations
- Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
- Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
- Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
- Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations
- Petrov--Galerkin Methods for Linear Volterra Integro-Differential Equations
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions
- Numerical solution of delay integro‐differential equations by using Taylor collocation method
- Piecewise Legendre spectral-collocation method for Volterra integro-differential equations
- On the numerical solution of nonlinear Volterra integro-differential equations
- The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
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