On the solution existence for collocation discretizations of time-fractional subdiffusion equations
DOI10.1007/s10915-024-02619-wMaRDI QIDQ6608066
Sebastian Franz, Natalia Kopteva
Publication date: 19 September 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The exponential Vandermonde matrix
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations
- Pointwise-in-time a posteriori error control for time-fractional parabolic equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
- Error Analysis for Time-Fractional Semilinear Parabolic Equations Using Upper and Lower Solutions
- Error analysis of an L2-type method on graded meshes for a fractional-order parabolic 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
- The Mathematical Theory of Finite Element Methods
- Generalized Vandermonde determinants.
- Generalization of Vandermonde determinants
- Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations
This page was built for publication: On the solution existence for collocation discretizations of time-fractional subdiffusion equations