Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations

• 作者: Manshuk Yeskindirova Mehmet Giyas Sakar Onur Saldir Zulqurnain Sabir
• 来源期刊: 力学快报（英文）
• 年，卷（期）: 2020,（5）
• 所属期刊栏目: Dynamics and Control
• 页码范围: 333-342
• 页数: 10页
• 语种: 英文

摘要

The aim of the present study is to design a new fifth order system of Emden–Fowler equations and related four types of the model. The standard second order form of the Emden–Fowler has been used to obtain the new model. The shape factor that appear more than one time discussed in detail for every case of the designed model. The singularity at η = 0 at one point or multiple points is also discussed at each type of the model. For validation and correctness of the new designed model, one example of each type based on system of fifth order Emden–Fowler equations are provided and numerical solutions of the designed equations of each type have been obtained by using variational iteration scheme. The comparison of the exact results and present numerical outcomes for solving one problem of each type is presented to check the accuracy of the designed model.