文章基本信息

标题：RBF collocation approach to calculate numerically the solution of the nonlinear system of qFDEs
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作者：Fahimeh Akhavan Ghassabzadeh ; Emran Tohidi ; Harendra Singh 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2021
卷号：33
期号：2
页码：1-10
DOI：10.1016/j.jksus.2020.101288
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we have implemented an efficient and high accurate radial basis function (RBF) collocation scheme for solving nonlinear systems of q-fractional differential equations. We firstly convert the problems under investigation into the equivalent systems of weakly singular q-integral equations by some essential results of fractional q-calculus. Secondly, we combine RBF collocation method and Newton–Raphson iterative algorithm to solve the latter systems of weakly singular q-integral equations. More precisely, applying RBF collocation scheme will transform the system of q-integral equations into the associated system of nonlinear algebraic equations that can be solved by iterative methods such as the Newton–Raphson algorithm. Finally, various numerical test problems including linear and nonlinear examples are listed to illustrate the robustness of the proposed global scheme with respect to the at least two recent methods in the literature.
关键词：q-Fractional derivative;q-Fractional integral;q-Fractional differential equation;Radial basis functions;Collocation method