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

• Published in: Applied mathematics and computation Vol. 367; p. 124717
• Main Authors: Devi, Vinita, Maurya, Rahul Kumar, Singh, Somveer, Singh, Vineet Kumar
• Format: Journal Article
• Language: English
• 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

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...