Special Functions and Its Application in Solving Two Dimensional Hyperbolic Partial Differential Equation of Telegraph Type

• Published in: Symmetry (Basel) Vol. 15; no. 4; p. 847
• Main Authors: Ali, Ishtiaq, Saleem, Maliha Tehseen, Din, Azhar ul
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2023
• Subjects: Algorithms; Approximation; Boundary conditions; Chebyshev approximation; Collocation; Computational efficiency; Computing costs; Computing time; Derivatives; Differential equations; Differentiation; Dirichlet problem; Discretization; Exact solutions; Fast Fourier transformations; Finite difference method; Mathematical analysis; Mathematical models; Methods; Numerical analysis; Ordinary differential equations; Partial differential equations; Polynomials; Propagation; Transmission lines

In this article, we use the applications of special functions in the form of Chebyshev polynomials to find the approximate solution of hyperbolic partial differential equations (PDEs) arising in the mathematical modeling of transmission line subject to appropriate symmetric Dirichlet and Neumann bou...