diff --git a/Ilia Smirnov_Heat equation_A.rtf b/Ilia Smirnov_Heat equation_A.rtf new file mode 100644 index 0000000..2e8fad6 --- /dev/null +++ b/Ilia Smirnov_Heat equation_A.rtf @@ -0,0 +1,21 @@ +{\rtf1\ansi\ansicpg1252\cocoartf2709 +\cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fswiss\fcharset0 Helvetica;} +{\colortbl;\red255\green255\blue255;} +{\*\expandedcolortbl;;} +\paperw11900\paperh16840\margl1440\margr1440\vieww11520\viewh8400\viewkind0 +\pard\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\pardirnatural\partightenfactor0 + +\f0\fs24 \cf0 u(0)=0; u(1)=1;\ +\ +1) Heat equation in 1D: \ +f(x)=-\uc0\u8706 (\u955 (x)\u8706 u/\u8706 x)/\u8706 x\ +\ +\pard\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\pardirnatural\partightenfactor0 +\cf0 2) f(x)=const=h; \uc0\u955 (x)=const=\u955 ;\ +\ +3) h= -\uc0\u955 *(\u8706 u^2)/\u8706 x^2\ +\ +4) The second derivative: h= -\uc0\u955 u\'94(x); \ +\pard\tx566\tx1133\tx1700\tx2267\tx2834\tx3401\tx3968\tx4535\tx5102\tx5669\tx6236\tx6803\pardirnatural\partightenfactor0 +\cf0 \ +} \ No newline at end of file