Analytic solution for Telegraph equation by differential transform method

被引：52

作者：

Biazar, J. ^{[1
]}

Eslami, M. ^{[1
]}

机构：

[1] Univ Guilan, Dept Math, Fac Sci, Rasht, Iran

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 29期

关键词：

Differential transform method; Telegraph equation;

D O I：

10.1016/j.physleta.2010.05.012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article differential transform method (DTM) is considered to solve Telegraph equation. This method is a powerful tool for solving large amount of problems (Zhou (1986) [1], Chen and Ho (1999) [2], Jang et al. (2001) [3], Kangalgil and Ayaz (2009) [4], Ravi Kanth and Aruna (2009) [5], Arikoglu and Ozkol (2007) [6]). Using differential transform method, it is possible to find the exact solution or a closed approximate solution of an equation. To illustrate the ability and reliability of the method some examples are provided. The results reveal that the method is very effective and simple. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2904 / 2906

页数：3

共 50 条

[1] The Telegraph Equation and Its Solution by Reduced Differential Transform Method
Srivastava, Vineet K.
Awasthi, Mukesh K.
Chaurasia, R. K.
Tamsir, M.
[J]. MODELLING AND SIMULATION IN ENGINEERING, 2013, 2013
[2] An Explicit Analytic Solution to the Thomas-Fermi Equation by the Improved Differential Transform Method
Fatoorehchi, H.
Abolghasemi, H.
[J]. ACTA PHYSICA POLONICA A, 2014, 125 (05) : 1083 - 1087
[3] Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method
Eltayeb, Hassan
Abdalla, Yahya T.
Bachar, Imed
Khabir, Mohamed H.
[J]. SYMMETRY-BASEL, 2019, 11 (03):
[4] Time fractional telegraph equation and its solution by Laplace transform method
Biswas, Swapan
Das, Shantanu
Ghosh, Uttam
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (07)
[5] Analytical Solution of One-Dimensional Nonlinear Conformable Fractional Telegraph Equation by Reduced Differential Transform Method
Deresse, Alemayehu Tamirie
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
[6] A probability method for the solution of the telegraph equation with real-analytic initial conditions
Turbin A.F.
Samoilenko I.V.
[J]. Ukrainian Mathematical Journal, 2000, 52 (8) : 1292 - 1299
[7] Generalized Differential Transform Method to Space-Time Fractional Telegraph Equation
Garg, Mridula
Manohar, Pratibha
Kalla, Shyam L.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[8] Differential Quadrature Solution of Hyperbolic Telegraph Equation
Pekmen, B.
Tezer-Sezgin, M.
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[9] Solution of Inverse Problem for an Elliptic Equation by Differential Transform Method
Dedeturk, Mutlu
[J]. FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020), 2021, 2334
[10] THE ANALYTICAL SOLUTION OF TELEGRAPH EQUATION OF SPACE-FRACTIONAL ORDER DERIVATIVE BY THE ABOODH TRANSFORM METHOD
Benattia, Mohamed Elarbi
Belghaba, Kacem
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (02): : 243 - 253

← 1 2 3 4 5 →