Discrete Maximum Principle in One-Dimensional Heat Equation

Authors

  • Durga Jang K.C. Central Department of athematics,Tribhuvan University, Kirtipur
  • Ganesh Bahadur Basnet Tri-Chandra Multiple Campus, Ghantaghar

DOI:

https://doi.org/10.3126/jacem.v2i0.16093

Keywords:

Grid, Finite Difference Scheme, Finite Difference Methods, Heat Equation, Uniqueness

Abstract

The maximum principle plays key role in the theory and application of a wide class of real linear partial differential equations. In this paper, we introduce ‘Maximum principle and its discrete version’ for the study of second-order parabolic equations, especially for the one-dimensional heat equation. We also give a short introduction of formation of grid as well as finite difference schemes and a short prove of the ‘Discrete Maximum principle’ by using different schemes of heat equation.

Journal of Advanced College of Engineering and Management, Vol. 2, 2016, Page: 5-10

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Published

2016-11-29

How to Cite

K.C., D. J., & Basnet, G. B. (2016). Discrete Maximum Principle in One-Dimensional Heat Equation. Journal of Advanced College of Engineering and Management, 2, 5–10. https://doi.org/10.3126/jacem.v2i0.16093

Issue

Vol. 2 (2016)

Section

Articles

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