The Multi-scale Method for Solving Nonlinear Time Space Fractional Partial Differential Equations

• 作 者: Hossein Aminikhah Mahdieh Tahmasebi Mahmoud Mohammadi Roozbahani
• 机 构: Department of Applied Mathematics, University of Guilan, Rasht 41938-19141, Iran;Department of Appli
• 出 处: 自动化学报（英文版）
• 发表日期: 2019年1期
• 关键词: Adams fractional method B-spline wavelets multi-scale method nonlinear fractiona

In this paper,we present a new algorithm to solve a kind of nonlinear time space-fractional partial differential equations on a finite domain.The method is based on B-spline wavelets approximations,some of these functions are reshaped to satisfy on boundary conditions exactly.The Adams fractional method is used to reduce the proble(i)n to a system of equations.By multiscale method this system is divided into some smaller systems which have less computations.We get an approximated solution which is more accurate on some subdomains by combining the solutions of these systems.Illustrative examples are included to demonstrate the validity and applicability of our proposed technique,also the stability of the method is discussed.