Green-Haar method for fractional partial differential equations

• Published in: Engineering computations Vol. 37; no. 4; pp. 1473 - 1490
• Main Authors: Ismail, Muhammad, Rehman, Mujeeb ur, Saeed, Umer
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 16.04.2020; Emerald Group Publishing Limited
• Subjects: Approximation; Boundary conditions; Calculus; Error analysis; Green's functions; Ordinary differential equations; Partial differential equations; Wavelet analysis; Green-Haar method; Fractional partial differential equations; Caputo derivative; Haar wavelets; Picard technique

Purpose The purpose of this study is to obtain the numerical scheme of finding the numerical solutions of arbitrary order partial differential equations subject to the initial and boundary conditions. Design/methodology/approach The authors present a novel Green-Haar approach for the family of fract...