High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation

DOI10.1080/00207160.2021.1984435OpenAlexW3204085452WikidataQ115314066 ScholiaQ115314066MaRDI QIDQ5093049

Wenlin Qiu, Leijie Qiao, Da Xu, Bo Tang

Publication date: 26 July 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1984435

zbMATH Keywords

graded meshesweakly singular kernelorthogonal spline collocation methodalternating direction implicit schemetwo-dimensional evolution integro-differential equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional partial differential equations (35R11)

Related Items (1)

Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels

Cites Work

• Finite difference methods for the time fractional diffusion equation on non-uniform meshes
• Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
• Alternating direction implicit orthogonal spline collocation on some non-rectangular regions with inconsistent partitions
• A second-order accurate numerical method for a fractional wave equation
• A hybridizable discontinuous Galerkin method for fractional diffusion problems
• An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation
• ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation
• A novel high-order algorithm for the numerical estimation of fractional differential equations
• Compact alternating direction implicit scheme for integro-differential equations of parabolic type
• A higher order numerical method for time fractional partial differential equations with nonsmooth data
• Discretization with variable time steps of an evolution equation with a positive-type memory term
• BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels
• An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
• An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions
• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
• A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation
• On a graded mesh method for a class of weakly singular Volterra integral equations
• A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation
• An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
• Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
• A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel
• Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
• Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
• Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
• Numerical solution of an evolution equation with a positive-type memory term
• Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
• High‐order ADI orthogonal spline collocation method for a new 2D fractional integro‐differential problem
• Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation
• ADI orthogonal spline collocation methods for parabolic partial integro-differential equations

This page was built for publication: High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation