Solving time-fractional order telegraph equation via Sinc-Legendre collocation method
From MaRDI portal
Publication:347012
DOI10.1007/s00009-016-0796-3zbMath1349.35410OpenAlexW2522158891MaRDI QIDQ347012
A. M. Nagy, Nasser Hassan Sweilam, Adel Abd Elaziz El-Sayed
Publication date: 30 November 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-016-0796-3
spectral methodLegendre polynomialsCaputo fractional derivativeSinc functiontime-fractional order telegraph equation
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items
Sinc-Galerkin method for solving the time fractional convection-diffusion equation with variable coefficients, Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique, Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation, A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials, Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix, Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations, Numerical solution of time-fractional telegraph equation by using a new class of orthogonal polynomials, On the approximation of time-fractional telegraph equations using localized kernel-based method, Unnamed Item, An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation, Non-standard finite difference schemes for solving variable-order fractional differential equations, Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations, A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order, An efficient numerical method for a time-fractional telegraph equation, ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION, Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A shifted Legendre spectral method for fractional-order multi-point boundary value problems
- 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
- Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional telegraph equations.
- A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems
- Numerical solution of fractional telegraph equation by using radial basis functions
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- FRACTIONAL DIFFUSIVE WAVES
- He's homotopy perturbation method for solving the space- and time-fractional telegraph equations
- An approximation to the solution of telegraph equation by variational iteration method
- The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
- Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
- Fractional diffusion: probability distributions and random walk models
- An efficient method for solving fractional Hodgkin-Huxley model