A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation
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Publication:2110473
DOI10.1186/s13662-022-03726-4OpenAlexW4292838871WikidataQ113753396 ScholiaQ113753396MaRDI QIDQ2110473
Serkan Araci, Shrideh K. Q. Al-Omari, Mojtaba Fardi
Publication date: 21 December 2022
Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-022-03726-4
finite differencereproducing kernelpseudo-spectral methodreproducing kernel Hilbert spacetime-fractional diffusion-wave equation
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Cites Work
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- A finite difference method for fractional diffusion equations with Neumann boundary conditions
- A simple mathematical model for anomalous diffusion via Fisher's information theory
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- A new method for solving a class of mixed boundary value problems with singular coefficient
- Fractional calculus for scientists and engineers.
- Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method
- Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method
- Simplified reproducing kernel method for fractional differential equations with delay
- Mathematical modeling of time fractional reaction-diffusion systems
- Fractional diffusion equations by the Kansa method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation
- Waiting-times and returns in high-frequency financial data: An empirical study
- Time fractional diffusion: A discrete random walk approach
- A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model
- A novel finite difference-spectral method for fractal mobile/immobile transport model based on Caputo-Fabrizio derivative
- Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations
- An attractive numerical algorithm for solving nonlinear Caputo-Fabrizio fractional Abel differential equation in a Hilbert space
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
- An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
- Piecewise reproducing kernel method for singularly perturbed delay initial value problems
- Numerical algorithm for parabolic problems with non-classical conditions
- Kernel-based Approximation Methods using MATLAB
- An iterative method for backward time‐fractional diffusion problem
- Theory of Reproducing Kernels
- A kernel-based method for Volterra delay integro-differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Numerical solution of singularly perturbed <scp>2D</scp> parabolic initial‐boundary‐value problems based on reproducing kernel theory: Error and stability analysis
