Numerical solution of second order one-dimensional linear hyperbolic equation using trigonometric wavelets

Title:

Numerical solution of second order one-dimensional linear hyperbolic equation using trigonometric wavelets

Creator:

Jokar, Mahmood and Lakestani, Mehrdad

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6db49c19-e59b-4819-8e34-0c0fcf002dff
uuid:6db49c19-e59b-4819-8e34-0c0fcf002dff

Subject:

telegraph equation, trigonometric wavelets, hermit interpolation, and operational matrix of derivation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses the trigonometric wavelets. The method consists of expanding the required approximate solution as the elements of trigonometric wavelets. Using the operational matrix of derivative, we reduce the problem to a set of algebraic linear equations. Some numerical example is included to demonstrate the validity and applicability of the technique. The method produces very accurate results. An estimation of error bound for this method is presented and it is shown that in this method the matrix of coefficients is a sparse matrix.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[939]-957

Source:

Kybernetika | 2012 Volume:48 | Number:5

Harvested from:

CDK

Metadata only:

false