L3 approximation of Caputo derivative and its application to time-fractional wave equation. I
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Publication:2104361
DOI10.1016/j.matcom.2022.10.003OpenAlexW4306318817MaRDI QIDQ2104361
Nikhil Srivastava, Vineet Kumar Singh
Publication date: 7 December 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.10.003
finite difference schemeCaputo derivativetime-fractional wave equationL3 approximationML3 approximation
Related Items (3)
A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay ⋮ Barycentric rational interpolation method for solving time-dependent fractional convection-diffusion equation ⋮ An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation
Uses Software
Cites Work
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- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- High-order finite element methods for time-fractional partial differential equations
- A compact difference scheme for the fractional diffusion-wave equation
- Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
- Numerical solution of fractional differential equations using the generalized block pulse operational matrix
- Laplace transform and fractional differential equations
- A new Jacobi operational matrix: an application for solving fractional differential equations
- Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation
- Remarks on fractional derivatives
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
- Fractional calculus models of complex dynamics in biological tissues
- A new operational matrix for solving fractional-order differential equations
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues
- Finite difference methods for fractional dispersion equations
- Fractional differential equations in electrochemistry
- Numerical methods for the solution of partial differential equations of fractional order.
- Numerical solution of the space fractional Fokker-Planck equation.
- Numerical solution of fractional diffusion-wave equation based on fractional multistep method
- A novel finite difference discrete scheme for the time fractional diffusion-wave equation
- Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems
- The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
- Finite difference approximations for fractional advection-dispersion flow equations
- Analytically pricing double barrier options based on a time-fractional Black-Scholes equation
- Stable numerical schemes for time-fractional diffusion equation with generalized memory kernel
- An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
- Wavelet approximation scheme for distributed order fractional differential equations
- The development of higher-order numerical differential formulas of Caputo derivative and their applications (I)
- Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix
- A high-order L2 type difference scheme for the time-fractional diffusion equation
- A high order formula to approximate the Caputo fractional derivative
- An efficient and stable Lagrangian matrix approach to Abel integral and integro-differential equations
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- Some temporal second order difference schemes for fractional wave equations
- A finite element method for time fractional partial differential equations
- A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities
- The Fractional Fourier Transform and Applications
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Fractional Spectral Collocation Method
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
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