Two unconditional stable schemes for simulation of heat equation on manifold using DEC

Details Two unconditional stable schemes for simulation of heat equation on manifold using DEC Two unconditional stable schemes for simulation of heat equation on manifold using DEC

2010-01-12

arxiv.org/abs/1001.1804v1

Mathematics

Numerical Analysis

8 pages,3figures

Scientific paper

To predict the heat diffusion in a given region over time, it is often necessary to find the numerical solution for heat equation. With the techniques of discrete differential calculus, we propose two unconditional stable numerical schemes for simulation heat equation on space manifold and time. The analysis of their stability and error is accomplished by the use of maximum principle.

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