Scilab/C4/ODE-Euler-methods/Khasi

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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