Numerical Solution of One-dimensional Telegraph Equation using Cubic B-spline Collocation Method

A piecewise analysis model for electrical conductivity calculation from time domain reflectometry waveforms

“…Therefore, Greco (2006) mainly used the model to describe wetting and drying fronts during soil water infiltration and evaporation. Except for special cases (Rashidinia et al, 2014;Raftari and Yildirim, 2010;Adewumi et al, 2017), genetic algorithms have been used in the numerical implementations for inverse modeling to address problems with relatively large degrees of freedom and non-uniqueness of optimal solutions. Hence, the computational load for inverse models can be relatively heavy.…”

Travelling Wave solutions of hyperbolic Telegraph equation by Tanh method

“…Mehrdad Lakestani et al [6] used interpolating scaling functions to find solutions of linear hyperbolic equation. J. Rashidinia et al [3] used a collocation approach to find solutions of telegraph equation. Murat et al [4] used DGJ method to find solutions of hyperbolic telegraph equation.…”

The Numerical Study of a Hybrid Method for Solving Telegraph Equation

“…Several numerical methods were developed for solving 1D telegraph equation, for example, reduced differential transform method, differential quadrature method, new unconditionally stable difference schemes, Chebyshev tau method, dual reciprocity boundary integral equation, cubic B-spline collocation method, modified B-spline differential quadrature method, semi-discretization method, unconditionally stable ADI method, Rothe-wavelet method, collocation method, He's variational iteration method, dual reciprocity boundary integral equation method, etc. [1,[9][10][11][12][13][14][15][16][17][18][19]. The preferred hybrid method is used for solving many types of differential equations.…”