Numerical Solution of Heat Equation in Polar Cylindrical Coordinates by the Meshless Method of Lines

被引：7

作者：

Hussain, Arshad ^{[1
]}

Uddin, Marjan ^{[1
,2
]}

Haq, Sirajul ^{[1
,3
]}

Jan, Hameed Ullah ^{[1
,2
]}

机构：

[1] Karakoram Int Univ, Dept Math, Hunza Campus, Gilgit Baltistan, Pakistan

[2] UET, Dept Basic Sci & Islamiat, Pehsawar, Khyber Pakhtunk, Pakistan

[3] GIK Inst Engn Sci & Technol, Fac Engn Sci, Topi, Khyber Pakhtunk, Pakistan

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

DATA APPROXIMATION SCHEME; ORDER DIFFERENCE-METHODS; SCATTERED DATA; MULTIQUADRICS; STABILITY; ACCURACY;

D O I：

10.1155/2021/8862139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a numerical solution to the heat equation in polar cylindrical coordinates by using the meshless method of lines approach. The space variables are discretized by multiquadric radial basis function, and time integration is performed by using the Runge-Kutta method of order 4. In radial basis functions (RBFs), much of the research are devoted to the partial differential equations in rectangular coordinates. This work is an attempt to explore the versatility of RBFs in nonrectangular coordinates as well. The results show that application of RBFs is equally good in polar cylindrical coordinates. Comparison with other cited works confirms that the present approach is accurate as well as easy to implement to problems in higher dimensions.

引用

页数：11

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