Open AccessNew analytical method for solving nonlinear time-fractional reaction-diffusion-convection problems
Author(s) -
Ali Khalouta,
Abdelouahab Kadem
Publication year - 2020
Publication title -
revista colombiana de matemáticas/revista colombiana de matematicas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.176
H-Index - 7
eISSN - 2357-4100
pISSN - 0034-7426
DOI - 10.15446/recolma.v54n1.89771
Subject(s) - nonlinear system , linearization , simple (philosophy) , mathematics , series (stratigraphy) , taylor series , fractional calculus , computer science , mathematical optimization , mathematical analysis , physics , paleontology , philosophy , epistemology , quantum mechanics , biology
In this paper, we propose a new analytical method called generalized Taylor fractional series method (GTFSM) for solving nonlinear timefractional reaction-diffusion-convection initial value problems. Our obtained results are given in the form of a new theorem. The advantage of the proposed method compared with the existing methods is, that method solves the nonlinear problems without using linearization and any other restriction. The accuracy and efficiency of the method is tested by means of two numerical examples. Obtained results interpret that the proposed method is very effective and simple for solving different types of nonlinear fractional problems.