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A fractional Temimi‐Ansari method (FTAM) with convergence analysis for solving physical equations
Author(s) -
Arafa Anas A. M.,
ElSayed Ahmed M. A.,
SH. Hagag Ahmed M.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7212
Subject(s) - mathematics , convergence (economics) , burgers' equation , fractional calculus , nonlinear system , korteweg–de vries equation , simple (philosophy) , order (exchange) , calculus (dental) , mathematical analysis , partial differential equation , medicine , philosophy , physics , dentistry , epistemology , finance , quantum mechanics , economics , economic growth
The aim of this paper is to describe the new fractional Temimi‐Ansari method (FTAM) for the KdV‐Burgers equation and the Benjamin‐Bona‐Mahoney‐Burger equation (BBMB) with time fractional order. Convergence of the presented method has been successfully achieved. This method does not need any assumptions for nonlinear terms. FTAM with time fractional order is demonstrated to be a very simple and effective approach to solving nonlinear fractional problems. The accuracy and efficiency of FTAM has been demonstrated by studying the convergence of this technique.