http://timothyandrewbarber.blogspot.com/2011/08/align-environment-in-latex.html

In order to have the equation number at the end of a long, multi-line equation use the command

**\nonumber**right before you end the line with the double slashes

\begin{align} \dfrac{\partial^2 T \left( x, t + \dfrac{\Delta t}{2} \right)}{\partial x^2} = &\dfrac{1}{2} \left[ \dfrac{T \left( x + \Delta x, t + \Delta t \right) - 2 T \left( x, t + \Delta t \right) + T \left( x - \Delta x, t + \Delta t \right)}{\Delta x^2} \right.\nonumber\\ &\left. + \dfrac{T \left( x + \Delta x, t \right) - 2 T \left( x, t \right) + T \left( x - \Delta x, t \right)}{\Delta x^2} \right] + O \left( \Delta x^2 \right) \end{align}

In order to center the equation number, surround the array environment with an equation environment

\begin{equation}\begin{align} \dfrac{\partial^2 T \left( x, t + \dfrac{\Delta t}{2} \right)}{\partial x^2} = &\dfrac{1}{2} \left[ \dfrac{T \left( x + \Delta x, t + \Delta t \right) - 2 T \left( x, t + \Delta t \right) + T \left( x - \Delta x, t + \Delta t \right)}{\Delta x^2} \right. \\ &\left. + \dfrac{T \left( x + \Delta x, t \right) - 2 T \left( x, t \right) + T \left( x - \Delta x, t \right)}{\Delta x^2} \right] + O \left( \Delta x^2 \right) \end{align}\end{equation}

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