Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations

被引：17

作者：

Rabiei, Kobra ^{[1
]}

Razzaghi, Mohsen ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2021年 / 168卷

关键词：

Fractional-order Boubaker wavelet; Riccati differential equations; Riemann-Liouville integral; Hypergeometric functions; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; APPROXIMATE SOLUTION; BERNOULLI WAVELETS; LEGENDRE FUNCTIONS; INTEGRATION;

D O I：

10.1016/j.apnum.2021.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an effective method for solving fractional Riccati differential equations. We first define the fractional-order Boubaker wavelets (FOBW). Using the hypergeometric functions, we determine the exact values for the Riemann-Liouville fractional integral operator of the FOBW. The properties of FOBW, the exact formula, and the collocation method are used to transform the problem of solving fractional Riccati differential equations to the solution of a set of algebraic equations. These equations are solved via Newton's iterative method. The error estimation for the present method is also determined. The performance of the developed numerical schemes is assessed through several examples. This method yields very accurate results. The given numerical examples support this claim. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：221 / 234

页数：14

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