Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique
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Publication:2144865
DOI10.3934/math.2021226OpenAlexW3128088540MaRDI QIDQ2144865
Deependra Nigam, Mohammad Tamsir, Anand Chauhan, Neeraj Dhiman
Publication date: 17 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021226
stability analysiscollocation techniqueCaputo time-fractional diffusion equationCExpB-spline functions
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Partial differential equations (35-XX)
Cites Work
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- An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- On the numerical solution of space-time fractional diffusion models
- The evolution of chaotic dynamics for fractional unified system
- On the numerical solutions for the fractional diffusion equation
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Implicit difference approximation for the time fractional diffusion equation
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Implicit finite difference approximation for time fractional diffusion equations
- Stability analysis of finite difference schemes for quantum mechanical equations of motion
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical computation of nonlinear Fisher's reaction-diffusion equation with exponential modified cubic B-spline differential quadrature method
- Fractional dynamics, Cantorian space-time and the gauge hierarchy problem
- Waiting-times and returns in high-frequency financial data: An empirical study
- The twisted Daehee numbers and polynomials
- A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations
- A high order numerical method and its convergence for time-fractional fourth order partial differential equations
- A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems
- Investigations on several high-order ADI methods for time-space fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- A new high order ADI numerical difference formula for time-fractional convection-diffusion equation
- A semi-discrete finite element method for a class of time-fractional diffusion equations
- A finite element method for time fractional partial differential equations
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- A numerical algorithm for computation modelling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method
- Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems
- High‐order compact finite difference and laplace transform method for the solution of time‐fractional heat equations with dirchlet and neumann boundary conditions
- A Study of the Numerical Solution of Partial Differential Equations
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