Efficient numerical algorithms for solving a time-fractional diffusion equation with weakly singular solution
DOI10.1016/J.CAM.2024.116033MaRDI QIDQ6581991
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
stabilityconvergencedifference schemeadaptive meshgraded meshfractional diffusion equationweak singularity
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Title not available (Why is that?)
- Compact finite difference method for the fractional diffusion equation
- Fractals and fractional calculus in continuum mechanics
- An adaptive moving mesh method for a time-fractional Black-Scholes equation
- A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation
- A finite element approximation for a class of Caputo time-fractional diffusion equations
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option
- The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Grid equidistribution for reaction-diffusion problems in one dimension
- A finite element method for time fractional partial differential equations
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Analytical Approach for Nonlinear Partial Differential Equations of Fractional Order
- A numerical technique based on B‐spline for a class of time‐fractional diffusion equation
- Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing
- A robust adaptive moving mesh technique for a time-fractional reaction-diffusion model
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