A STUDY ON FINITE DIFFERENCE METHOD USING EXPLICIT AND MONOTONE SCHEME HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

被引：0

作者：

Sowmiya, P. ^{[1
]}

Revathi, G. K. ^{[2
]}

Sakthipriya, M. ^{[3
]}

机构：

[1] Shri Sakthikailassh Womens Coll, Salem 636003, Tamil Nadu, India

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Chennai, Tamil Nadu, India

[3] Vaigai Arts & Sci Womens Coll, Valappady, Salem 636111, Tamil Nadu, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2022年 / 12卷 / 04期

关键词：

Explicit scheme; monotone scheme; numerical; hyperbolic PDE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

All the problems almost in science and technology can be expressed math-ematically in the form of partial differential equation. Mainly all the types of partial differential equation has a specific characters. Specially hyperbolic equation is associ-ated with vibrations and sounds especially problems related to time, heat, diffusion and elasticity. In this paper, the author discussed the explicit and monotone scheme based on finite difference method to find the numerical solution of hyperbolic partial differential equation with linear advection equation and also discussed the upwind difference scheme which was extended to an monotone scheme.

引用

页码：1459 / 1468

页数：10

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