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Solution of wave-like equation based on Haar wavelet | Berwal | Le Matematiche

Solution of wave-like equation based on Haar wavelet

Naresh Berwal, Dinesh Panchal, C. L. Parihar

Abstract


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.


Keywords


Wave-like Equation; Haar Wavelet; Matlab

Full Text: pdf