Solving nonlinear differential equations in astrophysics and fluid mechanics using the generalized pseudospectral method

被引：0

作者：

Delkhosh M. ^{[1
]}

Rahmanzadeh A. ^{[2
]}

Shafiei S.-F. ^{[2
]}

机构：

[1] Department of Mathematics and Computer Science, Islamic Azad University, Bardaskan Branch, Bardaskan

[2] Department of Mathematics and Computer Science, Kashmar Higher Education Institute, Kashmar

来源：

SeMA Journal | 2021年 / 78卷 / 4期

关键词：

Eyring–Powell non-Newtonian fluid; Generalized Lagrange functions; Generalized pseudospectral method; Lane–Emden type equations; Quasilinearization method;

D O I：

10.1007/s40324-021-00246-1

中图分类号：

学科分类号：

摘要：

In this study, a combined numerical method is introduced and used to solve nonlinear differential equations. Because of the use of this method of generalized Lagrange functions and their derivative operational matrices, they were first introduced, and then using these new functions, the generalized pseudospectral method as a new numerical method was combined with the quasilinearization method, and an efficient method is produced. Due to the use of derivative operational matrices and conversion of a nonlinear differential equation to a sequence of linear differential equations, in performing this method, it is not necessary to calculate the analytical derivative and solve the system of nonlinear algebraic equations, which reduces computational costs. The efficiency and convergence of the method have been demonstrated by implementing it on two important equations in astrophysics and fluid mechanics, and comparing the results with other methods and graphical graphs. © 2021, The Author(s), under exclusive licence to Sociedad Española de Matemática Aplicada.

引用

页码：457 / 474

页数：17

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