Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Pade approximation

被引：10

作者：

Akgul, Ali ^{[1
]}

Aliyu, Aliyu Isa ^{[2
]}

Inc, Mustafa ^{[3
]}

Yusuf, Abdullahi ^{[3
,4
]}

Baleanu, Dumitru ^{[5
,6
]}

机构：

[1] Siirt Univ, Dept Math, Art & Sci Fac, TR-56100 Siirt, Turkey

[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Guangdong, Peoples R China

[3] Firat Univ, Sci Fac, Dept Math, Elazig, Turkey

[4] Fed Univ Dutse, Sci Fac, Dept Math, Dutse, Nigeria

[5] Cankaya Univ, Dept Math, Ankara, Turkey

[6] Inst Space Sci, Magurele, Romania

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 13期

关键词：

Adomian decomposition method; conformable Rosenau-Hyman equation; Pade approximation; DEFINITION;

D O I：

10.1002/mma.5985

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper adopts the Adomian decomposition method and the Pade approximation techniques to derive the approximate solutions of a conformable Rosenau-Hyman equation by considering the new definition of the Adomian polynomials. The Pade approximate solutions are derived along with interesting figures showing both the analytic and approximate solutions.

引用

页码：7632 / 7639

页数：8

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