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Lakestani, Mehrdad; Saray, Behzad Nemati

Numerical solution of telegraph equation using interpolating scaling functions. (English) Zbl 1205.65288

Comput. Math. Appl. 60, No. 7, 1964-1972 (2010).
Summary: A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses interpolating scaling functions. The method consists of expanding the required approximate solution as the elements of interpolating scaling functions. Using the operational matrix of derivatives, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces accurate results.

Cited in 51 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Keywords:

telegraph equation; interpolating scaling function; operational matrix of derivative
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\textit{M. Lakestani} and \textit{B. N. Saray}, Comput. Math. Appl. 60, No. 7, 1964--1972 (2010; Zbl 1205.65288)
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