BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions
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Publication:6189257
DOI10.1016/j.camwa.2023.12.008OpenAlexW4389678300MaRDI QIDQ6189257
Leijie Qiao, R. Wang, Ahmed S. Hendy, Yubin Yan
Publication date: 8 February 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.12.008
numerical simulationsstability and convergenceorthogonal spline collocation method3D fractional parabolic integro-differential equations
Cites Work
- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- On convolution quadrature and Hille-Phillips operational calculus
- A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces
- BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
- A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
- A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation
- A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation
- Alternating direction implicit OSC scheme for the two-dimensional fractional evolution equation with a weakly singular kernel
- An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation
- An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
- Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables
- Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems
- A backward Euler alternating direction implicit difference scheme for the three‐dimensional fractional evolution equation
- Algorithms for Almost Block Diagonal Linear Systems
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- An L∞-error Estimate for the h-p Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems
