Abstract
In this paper, He’s polynomials solution method (HPSM) is fully utilized for solving telegraph equation. The proposed HPSM is technically presented and applied to homogeneous linear form the telegraph equation. The results are expressed in closed form with good agreement compared to those in literature thereby attesting to the efficiency and reliability of the method as proposed. The HPSM remarked to be less time consuming with high level of accuracy. As such, it can serve as alternative to other methods.
Highlights
In most physical and mathematical situations, modelling of physical phenomena leads to differential models in the form of equations which can be termed linear or nonlinear
The results are expressed in closed form with good agreement compared to those in literature thereby attesting to the efficiency and reliability of the method as proposed
The model to be considered in this work is the generalized telegraph equation (TE) which is a linear partial differential equation (PDE) describing the current and voltage on an electrical transmission line with x and t as distance and time parameter respectively
Summary
In most physical and mathematical situations, modelling of physical phenomena leads to differential models in the form of equations which can be termed linear or nonlinear. The model to be considered in this work is the generalized telegraph equation (TE) which is a linear partial differential equation (PDE) describing the current and voltage on an electrical transmission line with x and t as distance and time parameter respectively. This work proposes He’s polynomial method for the solution of (1.1) [8-12, 25, 26]. It is worth noting that the method being introduced is entwined in terms of applications with numerical analysis, computational finance, stochastic or random differential equations, and so on [29-34]
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