A New Solution for Optimal Control of Fractional Convection–Reaction–Diffusion Equation Using Rational Barycentric Interpolation

被引：1

作者：

Majid Darehmiraki

Arezou Rezazadeh

机构：

[1] Behbahan Khatam Alanbia University of Technology,Department of Mathematics

[2] University of Qom,Department of Mathematics

来源：

Bulletin of the Iranian Mathematical Society | 2020年 / 46卷

关键词：

Optimal control; Partial differential equation; Convection–reaction fractional equation; Grünwald–Letnikov formula; Barycentric collocation method; 43A62; 42C15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper solves an optimal control problem governed by a fractional convection–reaction–diffusion partial differential equation. Using Lagrangian multipliers, necessary conditions are obtained, and then, Barycentric collocation method are applied for discretizing classical derivatives and Grünwald–Letnikov formula for fractional derivative. Barycentric interpolation is a class of Lagrange polynomial interpolation that is fast and deserves to be known as a method of polynomial interpolation and Grünwald–Letnikov formula is a basic extension of the derivative in fractional calculus. Numerical examples are presented to show the effectiveness of the method.

引用

页码：1307 / 1340

页数：33