DUAL SERIES METHOD FOR SOLVING A HEAT EQUATION WITH MIXED BOUNDARY CONDITIONS

被引：2
|
作者：
Hoshan, N. A. [1 ]
Al-Jarrah, Y. A. [1 ]
Al-Habahbeh, A. A. [1 ]
机构：
[1] Tafi Tech Univ, Dept Math, Tafila, Jordan
来源：
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS | 2019年 / 92卷 / 02期
关键词：
nonstationary heat equation; dual series equations; mixed boundary conditions;
D O I：
10.1007/s10891-019-01936-4
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The paper is devoted to solving a nonhomogeneous nonstationary heat equation in cylindrical coordinates with a nonaxial symmetry. This equation is subjected to nonhomogeneous, mixed, and discontinuous boundary conditions of the second and third kinds that are specified on the disk of a finite cylinder surface. In fact, the solution of the given problem is obtained by using a new type of dual series equations (DSEs) with a Bessel function of the first kind. In particular, DSEs reduce the problem to a Fredholm integral equation of the second kind which can be solved numerically by several efficient methods.
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页码：326 / 332
页数：7
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