Scilab/C4/Solving-Non-linear-Equations/Khasi

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Time Narration
00:01 Paralok , ngi pdiang sngewbha ia phi sha ka Spoken tutorial halor ka Solving Nonlinear Equations using Numerical Methods.
00:10 Ha kaba kut jong kane ka jinghikai, phin sa nang kumno ban
00:13 Solve ia ki nonlinear equations da kaba pyndonkam ia ki numerical methods.
00:18 Ki methods kiba ngin sa pule kidei:
00:20 Bisection method bad
00:22 Secant method.
00:23 Ngin develop ruh ia ka Scilab code ban solve ia ki nonlinear equations.
00:30 Ban record ia kane ka jinghikai, nga pyndonkam ia ka
00:32 Ubuntu 12.04 kum ka operating system bad
00:36 Scilab 5.3.3 version.
00:40 Shwa ban pyrshang ia kane ka jinghikai, u ne ka nongpule kidei ban don
00:43 Ia ki jingtip badonkam jong ka Scilab bad
00:46 nonlinear equations.
00:48 Na ka bynta ka Scilab, sngewbha peit ia ki Scilab tutorials ha ka Spoken Tutorial website.
00:55 Na ka bynta ka function f ba la ai, ngi donkam ban wad ia u value jong u x na ka bynta f of x uba dei equal to zero.
01:04 Kane ka solution x la khot ka root of equation lane ka zero of function f.
01:11 Kane ka rukom leh la khot ka root finding lane kazero finding.
01:16 Ngi sdang da kaba pule ia ka Bisection Method.
01:20 Ha ka bisection method, ngi khein ia u initial bracket jong u root.
01:25 Nangta ngi iaid lyngba u bracket bad marshiteng ka length jong u.
01:31 Ngi iai ban ia kane ka rukom leh haduh ba un da ioh ia ka solution jong ka equation.
01:36 To ngin solve ia kane ka function da kaba pyndonkam ia ka Bisection method.
01:41 La ai: function f equal to two sin x minus e to the power of x divided by four minus one in the interval minus five and minus three
01:54 Open Bisection dot sci ha kaScilab editor.
02:00 To ngin peit ia u code na ka bynta ka Bisection method.'
02:03 Ngi define ia ka function Bisection ryngkat ki input arguments a b f bad tol.
02:10 Hangne a udei u lower limit jong ka interval,
02:14 b udei u upper limit jong ka interval,
02:16 f kadei ka function ba donkam ban solve.
02:19 Bad tol kadei ka tolerance level.
02:22 Ngi pyni ia ka maximum number jong ki iterations ban long equal to hundred.
02:28 Ngi wad ia u midpoint of the interval bad iaid shi iaid haduh ba u value ba la khein u don hapdeng ka tolerance range.
02:37 To ngin solve ia ka problem da kaba pyndonkam ia une u code.
02:40 Save bad execute ia ka file.
02:43 Phai sha ka Scilab console
02:47 To ngin define ia ka interval.
02:50 Ai ba a un long equal to minus five.
02:52 Nion Enter.
02:54 Ai ba b' un long equal to minus three.
02:56 Nion Enter.
02:58 Define ia ka function da kaba pyndonkam ia ka deff function.
03:01 ngi type: deff open parenthesis open single quote open square bracket y close square bracket equal to f of x close single quote comma open single quote y equal to two asterisk sin of x minus open parenthesis open parenthesis percentage e to the power of x close parenthesis divided by four close parenthesis minus one close single quote close parenthesis
03:41 Ban tip khambun shaphang ka deff function, type help deff
03:46 Nion Enter.
03:48 Ai ba tolun long equal to 10 to the power of minus five.
03:53 Nion Enter.
03:56 Ban solve ia ka problem , type
03:58 Bisection open parenthesis a comma b comma f comma tol close parenthesis
04:07 Nion Enter.
04:09 U root jong ka function la pyni ha ka console.
04:14 To ngin pule ia ka Secant's method.
04:17 Ha ka Secant's method, u derivative la antad da ka finite difference da kaba pyndonkam artylli ki successive iteration values.
04:27 To ngin solve ia kane ka nuksa da kaba pyndonkam ia ka Secant method.
04:30 Ka function kadei f equal to x square minus six.
04:36 Ki artylli ki starting guesses kidei p zero equal to two bad p one equal to three.
04:44 Shwa ban solve ia ka problem, to ngin peit ia u code na ka bynta ka Secant method.
04:50 Plie Secant dot sci ha ka Scilab editor.
04:54 Ngi define ia ka function Secant ryngkat bad ki input arguments a, b bad f.
05:01 a udei u starting guess ba nyngkong jong u root.
05:04 b udei u starting guess ba ar bad
05:07 f kadei ka function ba dei ban solve.
05:10 Ngi wad ia ka difference hapdeng u value ha u current point bad u point ba hashwa.
05:15 Ngi apply Secant's method bad wad ia u value jong u root.
05:21 Khatduh eh ngi pynkut ia ka function.
05:24 To ngan save bad execute ia u code.
05:27 Phai sha ka Scilab console.
05:30 Type clc.
05:32 Nion Enter.
05:34 To ngan define ia ki initial guesses na ka bynta kane ka nuksa.
05:38 Type a equal to 2.
05:40 Nion Enter.
05:42 Nangta type b equal to 3.
05:44 Nion Enter.
05:46 Ngi define ia ka function da kaba pyndonkam ia ka deff function.
05:49 Type deff open parenthesis open single quote open square bracket y close square bracket equal to g of x close single quote comma open single quote y equal to open parenthesis x to the power of two close parenthesis minus six close single quote close parenthesis
06:15 Nion Enter.
06:18 Ngi call ia ka function da kaba type
06:20 Secant open parenthesis a comma b comma g close parenthesis.
06:27 Nion 'Enter.
06:30 U value jong u root la pyni ha ka console.
06:35 To ngin batai kyllum ia kane ka jinghikai.
06:38 Ha kane ka jinghikai ngi la dep pule ban:
06:41 Develop Scilab code na ka bynta bun jait ki solving methods
06:45 Wad ia ki roots jong ka nonlinear equation .
06:48 Solve ia kane ka problem da lade da kaba pyndonkam ia ki artylli ki methods kiba ngi la pule mynta ka sngi.
06:55 Peit ia ka video ba don ha ka link ba la pyni harum.
06:58 Ka batai kyllum ia ka Spoken Tutorial project.
07:01 Lada phim don ia ka bandwidth kaba biang, phi lah ban shu download bad peit ia ka.
07:05 Ka kynhun jong ka Spoken Tutorial Project:
07:07 Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
07:10 Ka ai certificates sha kito kiba pass ha ka online test.
07:14 Na ka bynta khambun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org.
07:21 Spoken Tutorial Project kadei shibynta jong ka Talk to a Teacher project.
07:24 La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD,Sorkar India.
07:32 Kham bun ki jingtip halor kane ka mission ki don ha http://spoken-tutorial.org/NMEICT-Intro.
07:39 Nga i Meboreen na Shillong , nga pynkut ia kane.
07:41 Khublei shibun ia ka jingsnohktilang jong phi.

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Meboreen Mary