Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials

• 作者: Dayan Liu Jinsheng Wang Lechun Liu Liqing Liu Yiming Chen
• 来源期刊: 工程与科学中的计算机建模(英文)
• 学科: 数学
• 关键词: BERNSTEIN POLYNOMIALS variable order FRACTIONAL integral-differentialequation OPERATIONAL matrix numerical solution convergence analysis the ABSOLUTE error
• 年，卷（期）: 2015,（1）
• 页码范围: 69-85
• 页数: 17页
• 分类号: O17

摘要

The aim of this paper is to seek the numerical solution of a class of variable order fractional integral-differential equation in terms of Bernstein polynomials.The fractional derivative is described in the Caputo sense.Four kinds of operational matrixes of Bernstein polynomials are introduced and are utilized to reduce the initial equation to the solution of algebraic equations after dispersing the variable.By solving the algebraic equations,the numerical solutions are acquired.The method in general is easy to implement and yields good results.Numerical examples are provided to demonstrate the validity and applicability of the method.