An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model
DOI10.1016/J.CAM.2022.114918zbMath1503.65268OpenAlexW4307958542MaRDI QIDQ2104092
Pradip Roul, V. M. K. Prasad Goura
Publication date: 9 December 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114918
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method
- On the solutions of time-fractional reaction-diffusion equations
- Option pricing of a bi-fractional Black-Merton-Scholes model with the Hurst exponent \(H\) in \([\frac{1}{2}, 1\)]
- Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- B-spline collocation method for the singular-perturbation problem using artificial viscosity
- A practical guide to splines
- Fractals and fractional calculus in continuum mechanics
- An efficient parallel algorithm for Caputo fractional reaction-diffusion equation with implicit finite-difference method
- A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
- A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid
- Solution of a new model of fractional telegraph point reactor kinetics using differential transformation method
- A class of efficient difference method for time fractional reaction-diffusion equation
- B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
- Fractional-order mathematical model for calcium distribution in nerve cells
- A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations
- Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
- A fourth order numerical method based on B-spline functions for pricing Asian options
- A new collection of real world applications of fractional calculus in science and engineering
- A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
This page was built for publication: An efficient numerical scheme and its stability analysis for a time-fractional reaction diffusion model