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He–Laplace method for nonlinear vibration systems and nonlinear wave equations
M Nadeem, F Li - Journal of Low Frequency Noise, Vibration …, 2019 - journals.sagepub.com
This study suggests a new approach for solving telegraph equation, commonly called
damped wave equation, arising in electromagnetic waves and propagation of electrical …
damped wave equation, arising in electromagnetic waves and propagation of electrical …
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 …
transmission lines in electrical signals and gives a survey of the results on the development …
New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations
The telegraph equation describes various phenomena in many applied sciences. We
propose two new efficient spectral algorithms for handling this equation. The principal idea …
propose two new efficient spectral algorithms for handling this equation. The principal idea …
Laplace transform collocation method for telegraph equations defined by Caputo derivative
The purpose of this paper is to find approximate solutions to the fractional telegraph
differential equation (FTDE) using Laplace transform collocation method (LTCM). The …
differential equation (FTDE) using Laplace transform collocation method (LTCM). The …
Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation
In this paper, we analyze and implement a new efficient spectral Galerkin algorithm for
handling linear one-dimensional telegraph type equation. The principle idea behind this …
handling linear one-dimensional telegraph type equation. The principle idea behind this …
A meshless collocation approach with barycentric rational interpolation for two-dimensional hyperbolic telegraph equation
W Ma, B Zhang, H Ma - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a meshless collocation method with barycentric rational interpolation is
proposed to find and represent the solution of the two-dimensional hyperbolic telegraph …
proposed to find and represent the solution of the two-dimensional hyperbolic telegraph …
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 …
numerically the second‐order one‐dimensional hyperbolic telegraph equation provided with …
Stability of discrete schemes of Biot's poroelastic equations
The efficient and accurate numerical modelling of Biot's equations of poroelasticity requires
the knowledge of the exact stability conditions for a given set of input parameters. Up to now …
the knowledge of the exact stability conditions for a given set of input parameters. Up to now …
Block Nyström method for singular differential equations of the Lane–Emden type and problems with highly oscillatory solutions
SN Jator, HB Oladejo - International Journal of Applied and Computational …, 2017 - Springer
Singular and highly oscillatory ordinary differential equations (ODEs) are of great scientific
significance, since they frequently arise in practice. Hence, in this paper, we present a Block …
significance, since they frequently arise in practice. Hence, in this paper, we present a Block …
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces
A Akgül, D Grow - Differential Equations and Dynamical Systems, 2020 - Springer
We demonstrate the existence of a unique solution to a nonhomogeneous telegraph
initial/boundary value problem on the unit square in an appropriate binary reproducing …
initial/boundary value problem on the unit square in an appropriate binary reproducing …