Lagrange’s operational approach for the approximate solution of two-dimensional hyperbolic telegraph equation subject to Dirichlet boundary conditions

The key purpose of this study is to present two schemes based on Lagrange polynomials to deal with the numerical solution of second order two-dimensional telegraph equation (TDTE) with the Dirichlet boundary conditions. First, we convert the main equation into partial integro-differential equations...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and computation Vol. 367; p. 124717
Main Authors Devi, Vinita, Maurya, Rahul Kumar, Singh, Somveer, Singh, Vineet Kumar
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2020
Subjects
Lagrange polynomials
Operational matrices
Sylvester equation
Two-dimensional telegraph equations
Operational matrices
Two-dimensional telegraph equations
Lagrange polynomials
Sylvester equation
Online AccessGet full text

Cover

More Information
Summary:The key purpose of this study is to present two schemes based on Lagrange polynomials to deal with the numerical solution of second order two-dimensional telegraph equation (TDTE) with the Dirichlet boundary conditions. First, we convert the main equation into partial integro-differential equations (PIDEs) with the help of initial and boundary conditions. The operational matrices of differentiation and integration are then used to transform the PIDEs into algebraic generalized Sylvester equation. We compared the results obtained by the proposed schemes with Bernoulli matrix method and B-spline differential quadrature method which shows that the proposed schemes are accurate for small number of basis functions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.124717