The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel
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Publication:6142031
DOI10.1002/mma.8658OpenAlexW4292414935MaRDI QIDQ6142031
Hai-xiang Zhang, Xuehua Yang, Lijiao Wu
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8658
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Cites Work
- Unnamed Item
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Uniform \(L^ 1\) behavior in classes of integrodifferential equations with convex kernels
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- A note on the convergence of product integration and Galerkin method for weakly singular integral equations
- Numerical asymptotic stability for the integro-differential equations with the multi-term kernels
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- The time discretization in classes of integro-differential equations with completely monotonic kernels: weighted asymptotic stability
- Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative
- Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
- Numerical simulation of fractional evolution model arising in viscoelastic mechanics
- An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions
- A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions
- The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model
- Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
- Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions
- Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
- 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
- A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions
- The time discretization in classes of integro-differential equations with completely monotonic kernels: Weighted asymptotic convergence
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Uniform $L^1 $ Behavior for the Solution of a Volterra Equation with a Parameter
- The Numerical Solution of Integral Equations of the Second Kind
- A backward Euler difference scheme for the integro-differential equations with the multi-term kernels
- A second-order BDF compact difference scheme for fractional-order Volterra equation
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