Reproducing Kernel Method with Global Derivative

被引：0

作者：

Attia, Nourhane ^{[1
]}

Akguel, Ali ^{[2
,3
,4
]}

Atangana, Abdon ^{[5
,6
]}

机构：

[1] Dely Ibrahim Univ Campus, Natl High Sch Marine Sci & Coastal ENSSMAL, BP 19, Algiers 16320, Algeria

[2] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[4] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye

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

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

来源：

JOURNAL OF FUNCTION SPACES | 2023年 / 2023卷

关键词：

DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; HILBERT-SPACES; RICCATI;

D O I：

10.1155/2023/2726735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In this research, we used the RKHSM to construct new numerical solutions for nonlinear ODEs with global derivative. The used method systematically produces analytic and approximate solutions in the series's form. We tested three applications for showing the performance of the RKHSM.

引用

页数：11

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