Application of polynomial scaling functions for numerical solution of telegraph equation. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Rashidinia, Jalil; Jokar, Mahmood
• Is Part Of: Applicable analysis. Volume 95:Issue 1(2016)
• Page Start: 105
• Page End: 123
• Publication Date: 2016-01-02
• Subjects: telegraph equation -- polynomial scaling functions -- operational matrix of derivative -- convergence analysis; 65T60 -- 35L20 -- 65L60 -- 32E30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2014.998654
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we present a numerical method based on the polynomial scaling functions to solve the second-order one-space-dimensional hyperbolic telegraph equation. The method consists of expanding the approximate solution as the elements of polynomial scaling functions. The operational matrix of derivative for polynomial scaling functions is developed. Using the operational matrix of derivative, the problem reduces to a set of algebraic linear equations. An estimation of error bound for this method is investigated. Two numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces considerable accurate results among the existing scaling functions.