Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation
DOI10.1080/00207160.2017.1324150zbMath1499.35679OpenAlexW2611074852MaRDI QIDQ5028600
Publication date: 10 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1324150
stabilityconvergence ratesnumerical experimentsorthogonal spline collocation methodmulti-term time-fractional diffusion equation
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
- Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- Stability and convergence of an effective finite element method for multiterm fractional partial differential equations
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Finite central difference/finite element approximations for parabolic integro-differential equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Implicit difference approximation for the time fractional diffusion equation
- Stability of the difference type methods for linear Volterra equations in Hilbert spaces
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Orthogonal spline collocation methods for Schrödinger-type equations in one space variable
- Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
- Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- An inverse problem for a one-dimensional time-fractional diffusion problem
- Uniform l1 behaviour in a second-order difference-type method for a linear Volterra equation with completely monotonic kernel I: stability
- A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
- Spectral Analysis of Hermite Cubic Spline Collocation Systems
- Algorithms for Almost Block Diagonal Linear Systems
- Almost block diagonal linear systems: sequential and parallel solution techniques, and applications
- Block Iterative Algorithms for Solving Hermite Bicubic Collocation Equations
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- ADI orthogonal spline collocation methods for parabolic partial integro-differential equations
- Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems
- Orthogonal spline collocation methods for the stream function‐vorticity formulation of the Navier–Stokes equations
- Orthogonal spline collocation methods for partial differential equations
This page was built for publication: Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation