Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain
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DOI: 10.1007/s00211-020-01115-1
Abstract: In this paper, we study the numerical solution for the singularly perturbed telegraph equation (SPTE) on unbounded domain. Firstly, we investigate the first consistent effective asymptotic expansion for the solution of SPTE by the asymptotic… read more here.
Keywords: singularly perturbed; boundary conditions; telegraph equation; perturbed telegraph ... See more keywords
An Efficient Decomposition Method for Solving Telegraph Equation Through Quadratic Legendre Multiwavelets
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DOI: 10.1007/s40819-016-0178-3
Abstract: In this paper, we present a new technique based on the quadratic Legendre multiwavelets decomposition for solving telegraph equation. The properties of quadratic Legendre multiwavelets are used to transform the telegraph equation into the solution… read more here.
Keywords: efficient decomposition; quadratic legendre; telegraph equation; solving telegraph ... See more keywords
Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1322693
Abstract: ABSTRACT Today, most of the real physical world problems can be best modelled with fractional telegraph equation. Besides modelling, the solution techniques and their reliability are the most important. Therefore, high accuracy solutions are always… read more here.
Keywords: reproducing kernel; using reproducing; fractional telegraph; telegraph equation ... See more keywords
Analytical and numerical solutions of the telegraph equation using the Atangana–Caputo fractional order derivative
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DOI: 10.1080/09205071.2017.1403963
Abstract: Abstract This paper describes the telegraph equation using the Atangana–Caputo’s fractional derivative with two fractional orders and . The new definition is based on the concept of the power law and the generalized Mittag-Leffler function.… read more here.
Keywords: equation using; telegraph equation; caputo fractional; atangana caputo ... See more keywords
Fundamental solution of the multi-dimensional time fractional telegraph equation
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DOI: 10.1515/fca-2017-0046
Abstract: Abstract In this paper we study the fundamental solution (FS) of the multidimensional time-fractional telegraph equation where the time-fractional derivatives of orders α ∈]0,1] and β ∈]1,2] are in the Caputo sense. Using the Fourier… read more here.
Keywords: fractional telegraph; time fractional; time; fundamental solution ... See more keywords
On the stability of the telegraph equation with time delay
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DOI: 10.2298/fil2004251a
Abstract: In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional… read more here.
Keywords: telegraph equation; stability telegraph; problem; delay ... See more keywords
The Dirichlet problem for telegraph equation in a rectangular domain
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DOI: 10.3103/s1066369x17120052
Abstract: We investigate the Dirichlet problem for the telegraph equation in a rectangular domain. We establish a criterion of uniqueness of solution to the problem. The solution is constructed as the sum of an orthogonal series.… read more here.
Keywords: equation rectangular; dirichlet problem; problem telegraph; rectangular domain ... See more keywords