Difference between revisions of "Delta heat equation"
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m (Tom moved page Heat equation to Delta heat equation) |
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| − | Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be [[time scale|time scales]]. Define the heat equation by | + | Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be [[time scale|time scales]] and let $c \in \mathbb{R}$. Define the heat equation by |
$$u^{\Delta_1}=c^2 u^{\Delta_2^2},$$ | $$u^{\Delta_1}=c^2 u^{\Delta_2^2},$$ | ||
where $\Delta_1$ and $\Delta_2$ denote [[Partial Delta Derivative | partial $\Delta$-derivatives]]. | where $\Delta_1$ and $\Delta_2$ denote [[Partial Delta Derivative | partial $\Delta$-derivatives]]. | ||
Revision as of 10:00, 29 March 2015
Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales and let $c \in \mathbb{R}$. Define the heat equation by $$u^{\Delta_1}=c^2 u^{\Delta_2^2},$$ where $\Delta_1$ and $\Delta_2$ denote partial $\Delta$-derivatives.
