From bed9e3b092e1bdb6d2c79c67d9d0020956c9cc17 Mon Sep 17 00:00:00 2001 From: danieljfarrell Date: Fri, 19 Apr 2024 15:08:21 +0100 Subject: [PATCH] Fix misplaced symbol in equation --- _sources/advection_diffusion.rst.txt | 2 +- advection_diffusion.html | 2 +- doctrees/advection_diffusion.doctree | Bin 44267 -> 44263 bytes doctrees/environment.pickle | Bin 254329 -> 255455 bytes 4 files changed, 2 insertions(+), 2 deletions(-) diff --git a/_sources/advection_diffusion.rst.txt b/_sources/advection_diffusion.rst.txt index 4b9b7ae..a7e741e 100644 --- a/_sources/advection_diffusion.rst.txt +++ b/_sources/advection_diffusion.rst.txt @@ -141,7 +141,7 @@ Discretised equation in matrix form Dropping the spatial subscripts and writing in vector form the equations becomes, .. math:: - \frac{w^{n+1} - w^{n}}{\tau} & = \theta F(w^{n+1}) + (1-\theta)F(w^{n}) + \frac{w^{n+1} - w^{n}}{\tau} = \theta F(w^{n+1}) + (1-\theta)F(w^{n}) where, diff --git a/advection_diffusion.html b/advection_diffusion.html index 743360f..ccdc5be 100644 --- a/advection_diffusion.html +++ b/advection_diffusion.html @@ -138,7 +138,7 @@

The \(\theta\)-methodDiscretised equation in matrix formΒΆ

Dropping the spatial subscripts and writing in vector form the equations becomes,

-\[\frac{w^{n+1} - w^{n}}{\tau} & = \theta F(w^{n+1}) + (1-\theta)F(w^{n})\]
+\[\frac{w^{n+1} - w^{n}}{\tau} = \theta F(w^{n+1}) + (1-\theta)F(w^{n})\]

where,

\[\begin{split}F(w^{n+1}) = M^{n+1} w^{n+1} + s^{n+1} \\ diff --git a/doctrees/advection_diffusion.doctree b/doctrees/advection_diffusion.doctree index 5ab7050e8fd32fb6a3a203d050a14fb812731f49..64ae67c4523522bdca95d48131b4727d7d8649e6 100644 GIT binary patch delta 49 zcmaETlj-?QCYA=)sdqNAL{u<(Ox{o-%cNjC`C^3@M+STBlnk*RnAqlv6;dVu^`a8V delta 53 zcmaEUlj-$MCYA=)sSh@?L{u<(OnXBm@WvkU$dhOTrP7aOA$o??(a&;rIK0->a(b zuA1r9?CgwI81%7cyQ`~TSG{`mu6p(A$(}cU?7UUy(ZApVzwG9UbE8i2M6OaQ7MxRqp|7|DL++rv&Ry?ra5uV}P+qE4GLEd2DHW%4GxcDDY>K+?y;D30+u!3m z)f)G}nX5WQKUXUH^~dTF9_Ff}1+>|-=jwLQpSO!MHG2k)TkW99>x<~JpB5hh8v4qW zlILWAvVOGPx~r5y?|SW8)hz)peYN7TVrdrdoiFR9Go|u;B{$>Zjq~ckKy`gd>)`q0C8w5kTgCzfqN7?w(r#4RM1l`W$pR8I~)w~ zReHKmMcdZpOBp-wq=7u{VV}77(XESst6IfLtKOxjb9tv|7tqb^Co82=bz$_RdbV&9 zh+3!z){IlF;xcXL^QGDJbnS^J=F`=RUG(#Im9cm_xHNX3Mwe$Qj_;>4dE56LzkWIx zEZBb4siZN&AckBq>tOIVh=EM|wdv{H9EdDfJ6iG413%a#A34QLDVr-|dC}xW zpT>H#GndKNvJO!kpo($aoGUgKt{xdduh(atX}gxMrYohq0|Z@UXS3)>F+ 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