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Formula:1196

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Digital Library of Mathematical Functions ID 3.4.E21

∂ ⁡ u 0 , 0 ∂ ⁡ x = 1 4 ⁢ h ⁢ ( u 1 , 1 - u - 1 , 1 + u 1 , - 1 - u - 1 , - 1 ) + O ⁡ ( h 2 ) . partial-derivative subscript 𝑢 0 0 𝑥 1 4 ℎ subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 subscript 𝑢 1 1 Big-O superscript ℎ 2 {\displaystyle{\displaystyle\frac{\partial u_{0,0}}{\partial x}=\frac{1}{4h}\,% (u_{1,1}-u_{-1,1}+u_{1,-1}-u_{-1,-1})+O\left(h^{2}\right).}}


Constraint(s)

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • u 𝑢 {\displaystyle{\displaystyle u}} : function
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:39.
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