Numerical solution of partial integro-differential equation with a weakly singular kernel based on Sinc methods
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Publication:2666229
DOI10.1016/j.matcom.2021.05.014OpenAlexW3163759232WikidataQ114149969 ScholiaQ114149969MaRDI QIDQ2666229
Publication date: 22 November 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.05.014
exponential convergenceweakly singular kernelpartial integro-differential equationSinc methodsweakly singular problems
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Cites Work
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- DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. I: Definite integration and function approximation
- Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type
- Numerical solution of Volterra integral equations with weakly singular kernel based on the DE-sinc method
- Function classes for double exponential integration formulas
- Uniform approximation to \({}X{}^ \beta\) by Sinc functions
- The numerical solution of Volterra integral equations with nonsmooth solutions based on sinc approximation
- Optimality of the double exponential formula -- functional analysis approach
- Summary of Sinc numerical methods
- A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces
- Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
- A spatial-temporal GFDM with an additional condition for transient heat conduction analysis of FGMs
- Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations
- Space-time generalized finite difference nonlinear model for solving unsteady Burgers' equations
- Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation
- Discontinuous Galerkin method for an evolution equation with a memory term of positive type
- Convolution quadrature time discretization of fractional diffusion-wave equations
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Numerical implementation of the Sinc-Galerkin method for second-order hyperbolic equations
- Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- The space-time Sinc-Gallerkin method for parabolic problems
- A Numerical Method for a Partial Integro-Differential Equation
- Sinc-Collection Methods for Two-Point Boundary Value Problems
- A fully Sinc-Galerkin method for Euler-Bernoulli beam models
- Numerical solution of an evolution equation with a positive-type memory term
- Near optimality of the sinc approximation
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations