A numerical algorithm based on scale-3 Haar wavelets for fractional advection dispersion equation. Issue 4 (20th October 2020)

• Record Type: Journal Article
• Authors: Pandit, Sapna; Mittal, R.C.
• Is Part Of: Engineering computations. Volume 38:Issue 4(2021)
• Page Start: 1706
• Page End: 1724
• Publication Date: 2020-10-20
• Subjects: Space fractional advection dispersion equation -- Uniform scale-3 Haar wavelets -- Collocation points; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-01-2020-0013
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: This paper aims to propose a novel approach based on uniform scale-3 Haar wavelets for unsteady state space fractional advection-dispersion partial differential equation which arises in complex network, fluid dynamics in porous media, biology, chemistry and biochemistry, electrode – electrolyte polarization, finance, system control, etc. Design/methodology/approach: Scale-3 Haar wavelets are used to approximate the space and time variables. Scale-3 Haar wavelets converts the problems into linear system. After that Gauss elimination is used to find the wavelet coefficients. Findings: A novel algorithm based on Haar wavelet for two-dimensional fractional partial differential equations is established. Error estimation has been derived by use of property of compactly supported orthonormality. The correctness and effectiveness of the theoretical arguments by numerical tests are confirmed. Originality/value: Scale-3 Haar wavelets are used first time for these types of problems. Second, error analysis in new work in this direction.