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
DOI10.1016/j.camwa.2023.04.018MaRDI QIDQ6103635
Hongyan Liu, Yanying Ma, Wei Zhang, Hu Li
Publication date: 5 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
weakly singular kernelsgraded meshesbarycentric rational interpolationtime-dependent partial integro-differential equations
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- On the numerical stability of Floater-Hormann's rational interpolant
- The stability of barycentric interpolation at the Chebyshev points of the second kind
- Modified Euler's method with a graded mesh for a class of Volterra integral equations with weakly singular kernel
- Convergence rates of derivatives of a family of barycentric rational interpolants
- Matrices for the direct determination of the barycentric weights of rational interpolation
- High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures
- An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation
- Rational functions for guaranteed and experimentally well-conditioned global interpolation
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- An integrodifferential equation for rigid heat conductors with memory
- The linear barycentric rational method for a class of delay Volterra integro-differential equations
- A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation
- The linear barycentric rational quadrature method for auto-convolution Volterra integral equations
- Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
- Integrodifferential equation which interpolates the heat equation and the wave equation
- Exact solution of the time fractional variant Boussinesq-Burgers equations.
- A convergent hybrid numerical scheme for a class of nonlinear diffusion equations
- Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel
- A second-order accurate Crank-Nicolson finite difference method on uniform meshes for nonlinear partial integro-differential equations with weakly singular kernels
- Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
- Numerical schemes for a class of tempered fractional integro-differential equations
- What is the fractional Laplacian? A comparative review with new results
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- 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 improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation
- 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
- Barycentric rational interpolation with no poles and high rates of approximation
- Numerical solution of partial integro-differential equation with a weakly singular kernel based on Sinc methods
- Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations
- Barycentric Hermite Interpolation
- Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- A Numerical Method for a Partial Integro-Differential Equation
- The Numerical Solution of Integral Equations of the Second Kind
- Exact solutions for some time‐fractional evolution equations using Lie group theory
- Barycentric Lagrange Interpolation
- The numerical stability of barycentric Lagrange interpolation
- On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points
- Linear barycentric rational collocation method for solving telegraph equation
- On the characteristic Adomian decomposition method for the Riemann problem
- High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation
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