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Formula:1197

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Digital Library of Mathematical Functions ID 3.4.E22

∂ 2 ⁡ u 0 , 0 ∂ ⁡ x 2 = 1 h 2 ⁢ ( u 1 , 0 - 2 ⁢ u 0 , 0 + u - 1 , 0 ) + O ⁡ ( h 2 ) , partial-derivative subscript 𝑢 0 0 𝑥 2 1 superscript ℎ 2 subscript 𝑢 1 0 2 subscript 𝑢 0 0 subscript 𝑢 1 0 Big-O superscript ℎ 2 {\displaystyle{\displaystyle\frac{{\partial}^{2}u_{0,0}}{{\partial x}^{2}}=% \frac{1}{h^{2}}\,(u_{1,0}-2u_{0,0}+u_{-1,0})+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 02:39.
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