Formula:1199

Digital Library of Mathematical Functions ID 3.4.E24

${\displaystyle{\displaystyle\frac{{\partial}^{2}u_{0,0}}{{\partial x}^{2}}=\frac{1}{3h^{2}}\,(u_{1,1}-2u_{0,1}+u_{-1,1}+u_{1,0}-2u_{0,0}+u_{-1,0}+u_{1,-1}-2u_{0,-1}+u_{-1,-1})+O\left(h^{2}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle u}}$: function
 

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