A novel attempt for finding comparatively accurate solution for sine‐Gordon equation comprising Riesz space fractional derivative. (24th October 2015)

• Record Type: Journal Article
• Authors: Gupta, A. K.; Ray, S. Saha
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 11(2016:Jul. 30)
• Page Start: 2871
• Page End: 2882
• Publication Date: 2015-10-24
• Subjects: Riesz fractional derivative -- sine‐Gordon equation -- Chebyshev wavelet method; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3736
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, a numerical procedure involving Chebyshev wavelet method has been implemented for computing the approximate solution of Riesz space fractional sine‐Gordon equation (SGE). Two‐dimensional Chebyshev wavelet method is implemented to calculate the numerical solution of space fractional SGE. The fractional SGE is considered as an interpolation between the classical SGE (corresponding to α = 2) and nonlocal SGE (corresponding to α = 1). As a consequence, the approximate solutions of fractional SGE obtained by using Chebyshev wavelet approach were compared with those derived by using modified homotopy analysis method with Fourier transform. Copyright © 2015 John Wiley & Sons, Ltd.