Discrete Heat Equation Model with Shift Values

• 作者: G. Britto Antony Xavier M. Meganathan S. John Borg
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Generalized PARTIAL DIFFERENCE EQUATION PARTIAL DIFFERENCE Operator and DISCRETE Heat EQUATION
• 年，卷（期）: 2017,（9）
• 页码范围: 1343-1350
• 页数: 8页
• 分类号: O1

摘要

We investigate the generalized partial difference operator and propose a model of it in discrete heat equation in this paper. The diffusion of heat is studied by the application of Newton’s law of cooling in dimensions up to three and several solutions are postulated for the same. Through numerical simulations using MATLAB, solutions are validated and applications are derived.