Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation
DOI10.1007/s10444-024-10116-9MaRDI QIDQ6126538
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Publication date: 9 April 2024
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
convergence analysisfast implementationnonlinear fractional diffusion equationnonuniform \(L2\)-\(1_{\sigma}\) formulaoptimal quadratic spline collocation method
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
Cites Work
- A new difference scheme for the time fractional diffusion equation
- Too much regularity may force too much uniqueness
- Quadratic spline collocation method for the time fractional subdiffusion equation
- Optimal quadratic and cubic spline collocation on nonuniform partitions
- Optimal superconvergent one step quadratic spline collocation methods
- Quadratic spline collocation for one-dimensional linear parabolic partial differential equations
- Quadratic spline collocation methods for elliptic partial differential equations
- Fractional-order derivatives defined by continuous kernels are too restrictive
- A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay
- An efficient QSC approximation of variable-order time-fractional mobile-immobile diffusion equations with variably diffusive coefficients
- Two time-stepping schemes for sub-diffusion equations with singular source terms
- Why fractional derivatives with nonsingular kernels should not be used
- Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation
- A QSC method for fractional subdiffusion equations with fractional boundary conditions and its application in parameters identification
- A second-order fast compact scheme with unequal time-steps for subdiffusion problems
- Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data
- Quadratic-spline collocation methods for two-point boundary value problems
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- On Geometric Inverse Problems in Time-Fractional Subdiffusion
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Analysis of fractional differential equations
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