Scilab/C4/ODE-Euler-methods/Khasi

Time	Narration
00:01	Paralok, ngi pdiangsngewbha ia phi sha ka Spoken Tutorial halor ka Solving ODEs using Euler Methods.
00:09	Ha kaba kut jong kane ka jinghikai, phin sa nang kumno ban:
00:12	Solve ia ki ODEs da kaba pyndonkam Euler bad Modified Euler methods ha ka Scilab
00:18	Develop ia ka Scilab code ban solve ia ki ODEs.
00:22	Ban record ia kane ka jinghikai , nga pyndonkam da ka
00:25	Ubuntu 12.04 kum ka operating system
00:28	Bad ka Scilab 5.3.3 version.
00:32	Ban pyrshang ia kane ka jinghikai, u ne ka nongpule
00:34	Kidei ban don ia ki jingtip ba donkam shaphang ka Scilab
00:37	Bad dei ban tip kumno ban solve ia ki ODEs.
00:40	Ban pule ia ka Scilab, sngewbha leit sha ki jinghikai ba iadei ba don ha ka Spoken Tutorial website.
00:48	Ha ka Euler method, ngi ioh ia ka solution ba iajan kaba biang jong ka ODE.
00:55	La pyndonkam ia ka ban solve ia ki initial value problems ha kaba ki initial values jong ka differential equation la ai.
01:03	Lah ban pyndonkam ban solve ia ki continuous functions.
01:08	To ngin solve ia ka nuksa da kaba pyndonkam ia ka Euler method.
01:12	La ai ia ngi ia ka initial value problem -
01:15	y dash is equal to minus two t minus y.
01:20	Ka initial value jong u y la ai kum minus one(-1)
01:25	Bad ka step length la ai kum zero point one(0.1).
01:29	Ngi hap ban wad ia ka value jong u y ha kapor t equal to zero point five.
01:36	To ngin peit ia u code na ka bynta ka Euler method.
01:39	Plie ia ka Euler underscore o d e dot sci ha ka Scilab editor.
01:47	Ngi define ia ka function Euler underscore o d e ryngkat bad ki arguments f, t init, y init, h bad N
01:58	Ha kaba f u thew ia ka function ba dei ban solve
02:01	t init kadei ka initial value jong ka time t,
02:05	y init kadei ka initial value jong y,
02:09	h kadei ka step length bad n kadei ka number jong ki iterations.
02:14	Nangta ngi initialize ia ki values jong t bad y sha ki vectors jong zeros.
02:21	Ngi buh ia ki initial values jong t bad y ha t of one bad y of one
02:29	Nangta ngi iterate na one to N ban wad ia ka value jong u y.
02:33	Hangne ngi pyntreikam ia ka Euler method ban wad ia ka value jong u y.
02:39	Khatduh eh ngi end ia ka function.
02:42	Save and execute ia ka file Euler underscore o d e dot sci.
02:49	Phai sha ka Scilab console ban solve ia ka problem ba la ai nuksa.
02:54	Ngi define ia ka function da kaba type
02:56	d e f f open parenthesis open single quote open square bracket y dot close square bracket equal to f of t comma y close single quote comma open single quote y dot equal to open parenthesis minus two asterisk t close parenthesis minus y close single quote close parenthesis
03:26	Nion Enter.
03:28	Nangta type: t init is equal to zero.
03:31	Nion Enter.
03:33	Type: y init is equal to minus one.
03:38	Nion Enter .
03:40	Type: step length h is equal to zero point one.
03:44	Nion Enter .
03:46	Ka step length kadei zero point one bad ngi hap ban wad ia ka value jong u y ha zero point five.
03:53	Te , ka number jong ki iterations kadei ban long five.
03:59	Ha man kawei ka iteration, , u value jong t un sa kiew da zero point one.
04:05	Te type capital N is equal to five (N=5)
04:09	Bad nion Enter.
04:11	Ban call ia ka function, type:
04:14	open square bracket t comma y close square bracket equal to Euler underscore o d e open parenthesis f comma t init comma y init comma h comma capital N close parenthesis
04:33	Nion Enter.
04:35	U value jong u y at t equal to zero point five la pyni.
04:41	Mynta to ngin peit ia ka Modified Euler method.
04:45	Kadei ka second order method bad kadei ka stable two step method.
04:51	Ngi wad ia ka average jong ka function ha kaba sdang bad bakut jong ka time step.
04:56	To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka Modified Euler method.
05:02	Ngi ai ia ka function y dash is equal to t plus y plus t y.
05:08	Ka initial value jong u y kadeione
05:12	Bad ka step length kadei zero point zero one.
05:16	Ngi hap ban wad ia ka value jong u y ha time t equal to zero point one da kaba pyndonkam ia ka Modified Euler's method.
05:25	To ngin peit ia u code na ka bynta ka Modified Euler method ha ka Scilab Editor.
05:31	Ngi define ia ka function ryngkat ki arguments f, t init, y init, h bad n
05:39	Ha kaba f kadei ka function ba dei ban solve,
05:42	t init kadei ka intial time value,
05:45	y init kadei ka inital value jong u y,
05:49	h kadei ka step length bad
05:51	N kadei ka number jong ki iterations.
05:54	Nangta ngi initialize ia ki arrays na ka bynta y bad t.
05:58	Ngi buh ia ki initial values jong t bad y hat of one bad y of one
06:07	Ngi pyntreikam ia ka Modified Euler Method hangne.
06:11	Hangne, ngi wad ia ka average value jong u y ha kaba sdang bad bakut jong ka time step.
06:17	Save and execute ia ka fileModi Euler underscore o d e dot sci.
06:23	Phai sha ka Scilab console.
06:26	Clear ia ka screen da kaba type c l c.
06:30	Nion Enter.
06:32	Define ia ka function da kaba type d e f f open parenthesis open single quote open square bracket y dot close square bracket equal to f of t comma y close single quote comma open single quote y dot equal to t plus y plus t asterisk y close single quote close parenthesis
07:01	Nion Enter.
07:03	Nangta type: t init equal to zero, nion Enter.
07:08	Type: y init equal to one bad nion Enter.
07:12	Nangta type: h equal to zero point zero one nion Enter.
07:19	Type: capital N equal to ten
07:22	Namar ba ka number jong ki iterationskadei ban dei ten sha time t equal to zero point one ryngkat ka step length jong zero point zero one.
07:34	Nion Enter.
07:36	Nangta call ia ka function Modi Euler underscore o d e da kaba type:
07:41	open square bracket t comma y close square bracket equal to Modi Euler underscore o d e open parenthesis f comma t init comma y init comma h comma capital N close parenthesis
08:03	Nion Enter.
08:05	Ka value jong u y at t equal to zero point one la pyni.
08:10	To ngin batai kyllum ia kane ka jinghikai.
08:14	Ha kane ka jinghikai, ngi la pule shaphang ban develop ia ka Scilab code na ka bynta ka Euler badmodified Euler methods.
08:21	Ngi la dep pule ruh kumno ban solve ia ki ODEs da kaba pyndonkam ia kine ki rukom ha ka Scilab.
08:28	Peit ia ka video ba don ha ka link ba la pyni harum.
08:32	Ka batai kyllum ia ka Spoken Tutorial project.
08:35	Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka.
08:40	Ka kynhun jong ka spoken tutorial project:
08:42	Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
08:45	Ka ai certificates sha kito kiba pass ha ka online test.
08:49	Na ka bynta kham bun ki jingtip ba bniah sngewbha thoh sha ka contact@spoken-tutorial.org.
08:55	Spoken Tutoral Project kadei shibynta jong ka Talk to a Teacher project.
09:00	La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT, MHRD, Sorkar India.
09:07	Kham bun ki jingtip halor kane ka mission kidon ha ka link ba la ai harum:
09:13	Nga i Meboreen na Shillong, nga pynkut ia kane.
09:15	Khublei shibun ia ka jingsnohktilang jong phi.

Contributors and Content Editors

Meboreen Mary