In this study, the explicit finite difference method is used to solve the fractional-order pseudo-
hyperbolic telegraph partial differential equation by means of Caputo fractional derivative. A …

Differential and integral equations have been used vastly in modeling engineering and
science problems. Solving these equations has been always an active and important area of …

Burgers equation, a non-linear partial differential equation, occurs in many mathematical
fields like fluid mechanics, gas dynamics, nonlinear acoustics, traffic flow, etc. This paper is …

The vital target of the current work is to construct two-variable Vieta-Fibonacci polynomials
which are coupled with a matrix collocation method to solve the time-fractional telegraph …

In this paper, based on the weighted alternating direction implicit method, we investigate a
second-order scheme with variable steps for the two-dimensional time-fractional telegraph …

In this study, we considered time-fractional nonlinear telegraph equations (TFNLTEs). For
solving the TFNLTEs, we deployed a method known as the Multistep Modified Reduced …

In this paper, the numerical method for solving a class of generalized fractional advection-
diffusion equation (GFADE) is considered. The fractional derivative involving scale and …

Fractional telegraph equations are an important class of evolution equations and have
widely applications in signal analysis such as transmission and propagation of electrical …

A boundary element method formulation is developed and validated through the solution of
problems governed by the diffusion-wave equation, for which the order of the time derivative …

This paper presents a high order approximation scheme to solve the generalized fractional
telegraph equation (GFTE) involving the generalized fractional derivative (GFD). The GFD is …