3.9 Article

Haar Wavelet-Picard technique for fractional order nonlinear initial and boundary value problems

Journal

SCIENTIFIC RESEARCH AND ESSAYS
Volume 9, Issue 12, Pages 571-580

Publisher

ACADEMIC JOURNALS
DOI: 10.5897/SRE2013.5777

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In this article, a technique called Haar wavelet-Picard technique is proposed to get the numerical solutions of nonlinear differential equations of fractional order. Picard iteration is used to linearize the nonlinear fractional order differential equations and then Haar wavelet method is applied to linearized fractional ordinary differential equations. In each iteration of Picard iteration, solution is updated by the Haar wavelet method. The results are compared with the exact solution.

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