The telegraph model describes that the current and voltage waves can be reflected on a
wire, that symmetrical wave patterns can form along a line. A numerical study of these …

In the present work, we investigate the numerical solution of time-fractional telegraph
equation by a local meshless method. The fractional-order derivative is defined in the …

A finite difference scheme based on extended cubic B-spline method for the solution of time
fractional telegraph equation is presented and discussed. The Caputo fractional formula is …

A three-differential-equation mathematical model is presented for the degradation of phenol
and p-cresol combination in a bioreactor that is continually agitated. The stability analysis of …

In this paper, two temporal second-order schemes are derived and analyzed for the time
multi-term fractional diffusion-wave equation based on the order reduction technique. The …

This paper presents experimental evidence for the damped-hyperbolic nature of transient
heat conduction in porcine muscle tissue and blood. An examination of integer order and …

In this paper, we investigate the soliton solutions of the time–space fractional order
nonclassical Sobolev-type (TSFNST) equation. Sobolev equations are used in …

In this paper, a compact Crank–Nicolson scheme is proposed and analyzed for a class of
fractional Cattaneo equation. In develo** the scheme, the Crank–Nicolson discretization …

In this paper, we proposed and analyzed the error estimate of an implicit finite difference
method with Mamadu-Njoseh as basis functions for time fractional telegraph equation. To …

In this paper, a fast temporal second-order compact ADI scheme is proposed for the 2D time
multi-term fractional wave equation. At the super-convergence point, the multi-term Caputo …