Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices

DOI10.1155/2016/1683849zbMath1400.65052OpenAlexW2564305598WikidataQ59131029 ScholiaQ59131029MaRDI QIDQ1792736

Yanyan Li

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/1683849

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (9)

A fully finite difference scheme for time-fractional telegraph equation involving Atangana Baleanu Caputo fractional derivative ⋮ Numerical solution of fractional Riesz space telegraph equation ⋮ Analytical solution of one-dimensional nonlinear conformable fractional telegraph equation by reduced differential transform method ⋮ Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative ⋮ Numerical solution of space and time fractional telegraph equation: a meshless approach ⋮ A convergent exponential B-spline collocation method for a time-fractional telegraph equation ⋮ Extended cubic B-splines in the numerical solution of time fractional telegraph equation ⋮ A high order numerical method and its convergence for time-fractional fourth order partial differential equations ⋮ Numerical approximation of fractional telegraph equation via Legendre collocation technique

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical solution of telegraph equation using interpolating scaling functions
• Analytical solution for the time-fractional telegraph equation
• Singularly perturbed telegraph equations with applications in the random walk theory
• A new treatment based on hybrid functions to the solution of telegraph equations of fractional order
• Analytical solution for the time-fractional telegraph equation by the method of separating variables
• Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
• Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
• A numerical method for solving the hyperbolic telegraph equation
• Legendre multiwavelet Galerkin method for solving the hyperbolic telegraph equation
• Wave splitting of the telegraph equation in R ³ and its application to inverse scattering
• Homotopy analysis method for solving fractional hyperbolic partial differential equations

This page was built for publication: Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices