Scilab/C4/ODE-Applications/Khasi

Time	Narration
00:01	Paralok , ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka Solving ODEs using Scilab ode function
00:09	Ha kaba kut jong kane ka jinghikai, phin sa nang kumno ban:
00:12	Pyndonkam ia ka Scilab ode function
00:15	Ban solve ia ki nuksa jong ka ODEs bad
00:18	Plot ia ka solution.
00:21	Ki nuksa kin dei
00:24	Motion jong u simple pendulum
00:26	Van der Pol equation
00:28	Bad Lorenz system.
00:30	Ban record ia kane ka jinghikai , nga pyndonkam da ka
00:33	Ubuntu 12.04 kum ka operating system
00:36	Bad Scilab 5.3.3 version.
00:40	Ban pyrshang ia kane ka jinghikai, u nongpule udei ban don ia ka jingtip ba donkam jong ka Scilab
00:45	Bad dei ban tip kumno ban solve ia ki ODEs.
00:48	Ban nang ia ka Scilab, sngewbha peit ia ki jinghikai ba iadei ba don ha ka Spoken Tutorial website.
00:56	Ka ode function kadei ka ordinary differential equation solver.
01:01	Ka syntax kadei y equal to ode hapoh parenthesis y zero, t zero, t bad f.
01:10	Hangne y zero udei u initial condition jong ki ODEs,
01:15	t zero kadei ka initial time,
01:17	t kadei ka time range,
01:19	Bad f kadei ka function.
01:22	Shim ia ka jingiaid jong u simple pendulum.
01:25	Ai ba ka theta t kan dei ka angle ba la pynlong da u pendulum bad u vertical ha kapor t.
01:33	Ngi ai ia ki initial conditions-
01:36	theta of zero is equal to pi by four bad
01:39	theta dash of zero is equal to zero.
01:44	Nangta ka position jong u pendulum la ai da:
01:47	theta double dash t minus g by l into sin of theta t equal to zero.
01:56	Hangne g equal to 9.8 m per second square udei u acceleration due to gravity bad
02:03	l equal to zero point five meter' kadei ka length jong u pendulum.
02:11	Na ka bynta ki initial conditions ba la ai, ngi hap ban solve ia ka ODE hapoh ka time range zero less than equal to t less than equal to five.
02:22	Ngi hap ruh ban plot ia ka solution.
02:25	To ngin peit ia u code ban solve ia kane ka problem.
02:29	Plie ia ka Pendulum dot sci ha ka Scilab editor.
02:34	Ka lain banyngkong jong u code ka define ia ki initial conditions jong u ODE.
02:40	Nangta ngi define ia ka initial time value. Bad ngi ai ia ka time range.
02:46	Nangta, ngi pynkylla ia ka equation ba la ai sha ka system jong ki first order ODEs.
02:52	Ngi bujli ia ki values jong g bad l .
02:56	Hangne ngi shim ia u y ban long u variable theta bad y dash ban long u theta dash ba la ai.
03:03	Nangta ngi call ia ka ode function ryngkat bad ki arguments y zero, t zero, t bad ka function Pendulum.
03:12	Ka solution sha ka equation kan long ka matrix bad artylli ki rows.
03:17	Ka row banyngkong kan don ia ki values jongy ha ka time range ba la ai.
03:21	Ka row ba ar kan don ia ki values jong y dash hapoh ka time range.
03:27	Kumta ngi plot ia baroh artylli ki rows katkum ka time.
03:31	Save bad execute ia ka file Pendulum dot sci.
03:37	Ka plot ka pyni kumno ba ki values jong y bad y dash ki kylla katkum ka time.
03:44	Phai sha ka Scilab console.
03:47	Lada phi kwah ban iohi ia ki values jong u y, type y ha kaconsole bad nion Enter.
03:54	Ki values jong u y bad y dash la pyni.
03:58	To ngin solve ia ka Van der Pol equation da kaba pyndonkam ia ka ode function.
04:03	Ngi ai ia ka equation -
04:06	v double dash of t plus epsilon into v of t square minus one into v dash of t plus v of t equal to zero.
04:20	Ki initial conditions kidei v of two equal to one bad v dash of two equal to zero.
04:28	Shu shim ba epsilon is equal to zero point eight nine seven.
04:32	Ngi hap ban wad ia ka solution hapoh ka time range two less than t less than ten bad nangta plot ia ka solution.
04:42	To ngin peit ia u code na ka bynta ka Van der Pol equation.
04:47	Phai sha ka Scilab editor bad plie ia ka Vander pol dot sci.
04:53	Ngi define ia ki initial conditions jong ki ODEs bad time bad nangta define ia ka time range.
05:01	Namar ba ka inital time value la ai kum two, ngi sdang ia ka time range ha two.
05:07	Nangta ngi define ia ka function Vander pol bad shna ia ka system jong ki first order ODEs.
05:15	Ngi bujli ia u value jong u epsilon da u zero point eight nine seven.
05:21	Hangne y ka thew sha ka voltage v.
05:25	Nangta ngi call ia ka ode function bad solve ia ka system jong ki equations.
05:30	Khatduh eh ngi plot ia u y bad y dash versus t.
05:35	Save bad execute ia ka file Vander pol dot sci.
05:41	Ka plot kaba pyni ia ka voltage versus time la pyni.
05:45	To ngin iaid sha ka Lorenz system of equations.
05:50	Ka Lorenz system of equations la ai da:
05:53	x one dash equal to sigma into x two minus x one,
06:00	x two dash equal to one plus r minus x three into x one minus x two bad
06:08	x three dash equal to x one into x two minus b into x three.
06:16	Ki initial conditions kidei x one zero equal to minus ten, x two zero equal to ten bad x three zero equal to twenty five.
06:29	Ai ba sigma un long equal to ten, r un long equal to twenty eight bad b equal to eight by three.
06:37	Phai sha ka Scilab editor bad plie ia ka Lorenz dot sci.
06:44	Ngi sdang da kaba define ia ki initial conditions jong ki ODEs.
06:48	Namar ba kidon lai tylli ki ODEs ba iapher, don lai tylli ki initial conditions.
06:54	Nangta ngi define ia ka initial time condition bad nangta ka time range
07:00	Ngi define ia ka function Lorenz bad nangta define ia ki constants ba la ai sigma, r bad b.
07:08	Nangta ngi define ia ka first order ODEs.
07:12	Nangta ngi call ia ka ode function ban solve ia ka Lorenz system of equations.
07:18	Ngi equate ia ka solution sha x.
07:21	Nangta ngi plot x one, x two bad x three versus time.
07:28	Save bad execute ia ka file Lorenz dot sci.
07:33	Ka plot jong x one, x two bad x three versus time la ai.
07:39	To ngin batai kyllum ia kane ka jinghikai.
07:41	Ha kane ka jinghikai ngi la dep pule ban develop ia ka Scilab code ban solve ia ka ODE da kaba pyndonkam ia ka Scilab ode function.
07:50	Nangta ngi la pule ban plot ia ka solution.
07:53	Peit ia ka video ba don ha la link ba la pyni harum.
07:56	Ka batai kyllum ia ka Spoken Tutorial project.
07:59	Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka.
08:04	Ka kynhun jong ka spoken tutorial project.
08:06	Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
08:09	Ka ai certificates sha kito kiba pass ha ka online test
08:13	Na ka bynta khambun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org.
08:20	Spoken Tutorial Project kadei shibynta jong ka Talk to a Teacher project.
08:23	La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD ,Sorkar India.
08:31	Kham bun ki jingtip halor kane ka mission kidon ha ka link ba la pyni harum.
08:36	Nga i Meboreen na Shillong , nga pynkut ia kane.
08:38	Khublei shibun.

Contributors and Content Editors

Meboreen Mary