The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel (Q6142031)

scientific article; zbMATH DE number 7781314

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English	The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel	scientific article; zbMATH DE number 7781314

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instance of

scholarly article

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title

The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel (English)

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Mathematical Methods in the Applied Sciences

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publication date

21 December 2023

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zbMATH Keywords

convergence

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fourth-order integro-differential equations

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stability

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weakly singular kernel

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8658

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cites work

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Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

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Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation

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Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

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Numerical simulation of fractional evolution model arising in viscoelastic mechanics

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Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels

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A backward Euler difference scheme for the integro-differential equations with the multi-term kernels

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Q5866733

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A Difference Scheme for a Nonlinear Partial Integrodifferential Equation

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A finite difference scheme for partial integro-differential equations with a weakly singular kernel

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The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability

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The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence

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The Numerical Solution of Integral Equations of the Second Kind

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Trapezoidal methods for fractional differential equations: theoretical and computational aspects

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A note on the convergence of product integration and Galerkin method for weakly singular integral equations

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Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

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A compact finite difference scheme for the fourth-order fractional diffusion-wave system

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On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6142031