NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING HAAR WAVELET COLLOCATION METHOD

A. B. Deshi and G. A. Gudodagi
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A. B. Deshi: Department of Mathematics, KLECET, Chikodi 591201, Karnataka, India
G. A. Gudodagi: ��Department of Mathematics, KLE’s G. I. Bagewadi College, Nipani 591237, Karnataka, India

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-6

Abstract: Recently, wavelets are playing a very important role in the numerical analysis. In this paper, an investigation is made for numerical solution of a class of nonlinear fractional differential equations (FDEs) with error analysis using Haar wavelet collocation method. The proposed method is illustrated through presenting different kinds of FDEs, which gives the approximate solution and is in good agreement with the exact solution than the traditional numerical methods. The error will be reduced by increasing the number of collocation points and is justified through the illustrative examples.

Keywords: Fractional Differential Equations; Haar Wavelet Collocation Method; Error Analysis; Collocation Points (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501528

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