title: Numerical algorithm based on Haar-Sinc collocation method for solving the hyperbolic PDEs.
abstract: The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. To analyze the efficiency, precision, and performance of the proposed method, we presented four examples through which our claim was confirmed.
authors.affiliation: Department of Computer Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran.
authors.forename: A
authors.identifier: 0000-0003-3752-3852
authors.initials: A
authors.lastname: Pirkhedri
authors.affiliation: Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Shahed University, Tehran, Iran.
authors.forename: H H S
authors.initials: HH
authors.lastname: Javadi
authors.affiliation: Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Shahed University, Tehran, Iran.
authors.forename: H R
authors.initials: HR
authors.lastname: Navidi
mesh_terms: D000465:Algorithms; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical