Approximation of the subdiffusion equation with solution-dependent fractional time derivative and diffusion coefficient
DOI10.1134/S1995080224010323MaRDI QIDQ6544414
Ruslan M. Yanbarisov, A. V. Lapin
Publication date: 27 May 2024
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
a priori estimatesaccuracysolvabilityiterative solution methodgrid schemenonlinear subdiffusion equationfractional order solution-dependent time derivative
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- An anomalous non-self-similar infiltration and fractional diffusion equation
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Finite difference scheme for multi-term variable-order fractional diffusion equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Grid approximation of the subdiffusion equation with variable order time fractional derivative
- Numerical solution of a subdiffusion equation with variable order time fractional derivative and nonlinear diffusion coefficient
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