From 2326c6b18cc26532a72cafdf337827af86b478af Mon Sep 17 00:00:00 2001 From: msleigh Date: Mon, 21 Nov 2022 21:28:13 +0000 Subject: [PATCH] Fixes bug in theory.md section of docs --- docs/theory.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/docs/theory.md b/docs/theory.md index fe7c73f..4e95493 100644 --- a/docs/theory.md +++ b/docs/theory.md @@ -147,7 +147,10 @@ $$ is rearranged to give: -$$ u_r^{n+1} \approx \left[ \frac{1-\left(1-\alpha\right)\hat\beta c\Delta t\hat\sigma}{1+\alpha\hat\beta c\Delta t\hat\sigma} \right] u^n_r + \left[ \frac{\hat\beta\hat\sigma\Delta t}{1+\alpha\hat\beta c\Delta t\hat\sigma} \right] \phi^\lambda $$ +$$ u_r^{n+1} \approx +\left[ \frac{1-\left(1-\alpha\right)\hat\beta c\Delta t\hat\sigma}{1+\alpha\hat\beta c\Delta t\hat\sigma} \right] u^n_r + +\left[ \frac{\hat\beta\hat\sigma\Delta t}{1+\alpha\hat\beta c\Delta t\hat\sigma} \right] \phi^\lambda +$$ which allows us to write: