Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method

RC Mittal, R Bhatia - Applied Mathematics and Computation, 2013 - Elsevier
The present paper uses new approach and methodology to solve second order one
dimensional hyperbolic telegraph equation numerically by B-spline collocation method. It is …

Recent developments of numerical methods for analyzing telegraph equations

ME Köksal - Archives of Computational Methods in Engineering, 2023 - Springer
This paper presents mathematical modelling of telegraph equations and as an application of
transmission lines in electrical signals and gives a survey of the results on the development …

Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method

S Sharifi, J Rashidinia - Applied Mathematics and Computation, 2016 - Elsevier
We present a collocation method based on redefined extended cubic B-spline basis
functions to solve the second-order one-dimensional hyperbolic telegraph equation …

Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method

BK Singh, JP Shukla, M Gupta - International Journal of Applied and …, 2021 - Springer
Hybrid cubic B-spline differential quadrature method (in brief, HCB-DQM) have been
proposed for the study of one space dimensional time dependent partial differential …

[图书][B] Spatial dynamics and pattern formation in biological populations

RK Upadhyay, SRK Iyengar - 2021 - taylorfrancis.com
The book provides an introduction to deterministic (and some stochastic) modeling of
spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the …

High‐order numerical solution of second‐order one‐dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method

KT Elgindy - Numerical Methods for Partial Differential …, 2016 - Wiley Online Library
We present a high‐order shifted Gegenbauer pseudospectral method (SGPM) to solve
numerically the second‐order one‐dimensional hyperbolic telegraph equation provided with …

Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach

T Nazir, M Abbas, M Yaseen - Cogent Mathematics, 2017 - Taylor & Francis
This paper presents a new approach and methodology to solve the second-order one-
dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary …

Numerical simulation of power transmission lines

ME Koksal, M Senol, AK Unver - Chinese Journal of Physics, 2019 - Elsevier
A complete mathematical model of power transmission lines is obtained for time and space
dependent shunt parameters and time dependent series parameters. All possible initial and …

[PDF][PDF] Numerical solution of one-dimensional telegraph equation using cubic B-spline collocation method

J Rashidinia, S Jamalzadeh… - Journal of Interpolation …, 2014 - pdfs.semanticscholar.org
In this paper, a collocation approach is employed for the solution of the one-dimensional
telegraph equation based on cubic B-spline. The derived method leads to a tri-diagonal …

[PDF][PDF] Comparison of numerical solution of 1D hyperbolic telegraph equation using B-spline and trigonometric B-spline by differential quadrature method

G Arora, V Joshi - Indian Journal of Science and …, 2016 - sciresol.s3.us-east-2.amazonaws …
Objectives: This paper aims to compute the approximate solution of one dimensional (1D)
hyperbolic telegraph equation with appropriate primary and limiting conditions …