RETRACTED: New numerical method for ordinary differential equations: Newton polynomial (Retracted Article)

被引：63

作者：

Atangana, Abdon ^{[1
,2
]}

Araz, Seda Igret ^{[3
]}

机构：

[1] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[3] Siirt Univ, Fac Educ, Dept Math Educ, Siirt, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 372卷

关键词：

Newton polynomial; New numerical scheme; Fractal calculus; Fractional calculus; INTERPOLATION;

D O I：

10.1016/j.cam.2019.112622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Adams-Bashforth have been recognized to be a very efficient numerical method to solve linear and nonlinear differential equations, including those with non-integer orders. This method is based on the well-known Lagrange interpolation; however, it is well known that the Lagrange polynomial is less accurate than the Newton polynomial. In this paper, we introduced a new numerical scheme based on two steps Newton polynomial, we present some applications and illustrative examples for both ordinary differential equations with classical and fractional derivative. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：22

共 16 条

[1] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].