Solution of wave-like equation based on Haar wavelet

Autor: Naresh Berwal, Dinesh Panchal, C. L. Parihar
Jazyk: English<br />French<br />Italian
Rok vydání: 2012
Předmět:
Zdroj: Le Matematiche, Vol 67, Iss 2, Pp 157-167 (2012)
Druh dokumentu: article
ISSN: 0373-3505
2037-5298
05438152
Popis: Wavelet transform and wavelet analysis are powerful mathematical tools for many problems. Wavelet also can be applied in numerical analysis. In this paper, we apply Haar wavelet method to solve wave-like equation with initial and boundary conditions known. The fundamental idea of Haar wavelet method is to convert the differential equations into a group of algebraic equations, which involves a finite number or variables. The results and graph show that the proposed way is quite reasonable when compared to exact solution.
Databáze: Directory of Open Access Journals