The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation
From MaRDI portal
Publication:2967219
DOI10.1108/HFF-08-2013-0254zbMath1357.65197OpenAlexW2066975872MaRDI QIDQ2967219
Akbar Mohebbi, Mostafa Abbaszadeh, Mehdi Dehghan
Publication date: 28 February 2017
Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/hff-08-2013-0254
Related Items (19)
A fully finite difference scheme for time-fractional telegraph equation involving Atangana Baleanu Caputo fractional derivative ⋮ Fractional Chebyshev deep neural network (FCDNN) for solving differential models ⋮ Higher‐order algorithms for stable solutions of fractional time‐dependent nonlinear telegraph equations in space ⋮ Numerical solution of space and time fractional telegraph equation: a meshless approach ⋮ Numerical simulation of power transmission lines ⋮ A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations ⋮ Unnamed Item ⋮ An efficient element free method for stress field assessment in 2D linear elastic cracked domains ⋮ A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation ⋮ Numerical simulation of three-dimensional telegraphic equation using cubic B-spline differential quadrature method ⋮ A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions ⋮ Unnamed Item ⋮ Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions ⋮ Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport ⋮ Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials ⋮ Unnamed Item ⋮ An efficient meshless computational technique to simulate nonlinear anomalous reaction-diffusion process in two-dimensional space ⋮ Numerical solution of time fractional Tricomi-type equation by an RBF based meshless method ⋮ Numerical approximation of fractional telegraph equation via Legendre collocation technique
Cites Work
- Unnamed Item
- The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
- Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
- A method for solving partial differential equations via radial basis functions: application to the heat equation
- Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
- Numerical simulation of two-dimensional combustion using mesh-free methods
- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- An approximate analytical solution of time-fractional telegraph equation
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space
- A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Generalized differential transform method to space-time fractional telegraph equation
- On the solution of the non-local parabolic partial differential equations via radial basis functions
- Analytical solution for the time-fractional telegraph equation
- An approximation to solution of space and time fractional telegraph equations by He's variational iteration method
- A meshless based method for solution of integral equations
- A new operational matrix for solving fractional-order differential equations
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Some observations regarding interpolants in the limit of flat radial basis functions
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- Numerical comparisons of two meshless methods using radial basis functions
- Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods
- Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions
- The space-fractional telegraph equation and the related fractional telegraph process
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- Compact finite difference scheme for the solution of time fractional advection-dispersion equation
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- A fully discrete difference scheme for a diffusion-wave system
- Analytic and approximate solutions of the space- and time-fractional telegraph equations
- An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
- Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
- Analytical solution for a generalized space-time fractional telegraph equation
- AN ADVANCED MESHLESS METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION
- A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation
- A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations
- Homotopy analysis method for the one‐dimensional hyperbolic telegraph equation with initial conditions
- Homotopy Padé method for solving second-order one-dimensional telegraph equation
- He's homotopy perturbation method for solving the space- and time-fractional telegraph equations
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions
- A numerical method for solving the hyperbolic telegraph equation
- High order compact solution of the one-space-dimensional linear hyperbolic equation
- A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
- ON THE NUMERICAL SOLUTION OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS USING MULTIQUADRIC APPROXIMATION SCHEME
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- The fractional diffusion equation
- Scattered Data Interpolation: Tests of Some Method
- Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
- High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation
- New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
This page was built for publication: The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation
