UsefulVerse
Harshe · Hausa

Kyauta ne, babu asusu

Mai Rarraba Matsalar Ma'auni

Kimanin matsalar ƙimar farko-oda y' = f(x,y) tare da kafaffen mataki Runge–Kutta 4. Shigar da abin da aka samo asali, wurin farawa da ƙima, ƙarshen ƙarshen, da ƙidayar mataki. Komai yana gudana a cikin wannan burauzar.

Yi amfani da x da y, lambobi, + - × ÷ da ^. Ayyuka masu goyan baya: zunubi, cos, tan, exp, ln, log, sqrt da abs. Rubuta ninkawa a sarari, kamar x*y.

Kafaffen-mataki na gargajiya RK4 don oda na farko-darajar ODE kawai. Yana goyan bayan matakai 10,000; x dole ne ya kasance tsakanin ± 1,000,000 da y a cikin ± 1,000,000,000,000. Jadawalin da CSV suna nuna kusan maki 101 da aka zayyana. Sakamakon lambobi na iya zama maras daidai kusa da yankewa, rarrabuwa ko don tsayayyen daidaito. Ba ya samun mafita na gaba ɗaya na alama ko tabbatar da kuskure. Saukewa:

Ta yaya RK4 ke aiki daban-daban warware daidaiton equation?

RK4 yana ƙididdige mafita ta amfani da ƙididdigar gangara huɗu a kowane mataki. Ƙananan matakai sau da yawa suna inganta daidaito don mafita mai santsi, amma wannan ƙididdiga na ƙididdigewa ba alama ce ko ainihin bayani ba.

Tambayoyin da ake yawan yi

Ta yaya RK4 ke aiki daban-daban warware daidaiton equation?

RK4 yana ƙididdige mafita ta amfani da ƙididdigar gangara huɗu a kowane mataki. Ƙananan matakai sau da yawa suna inganta daidaito don mafita mai santsi, amma wannan ƙididdiga na ƙididdigewa ba alama ce ko ainihin bayani ba.

An ɗora ma'auni na da ƙima?

A'a. An ƙirƙiri lissafin, jadawali da CSV a cikin wannan burauzar. Wannan kayan aikin baya lodawa ko adana abubuwan shigar ku.

Menene hanyar Runge-Kutta ke ƙididdigewa? Saukewa:

Yana ƙididdige hanyar mafita daga wurin farawa ta hanyar yin amfani da samfurori masu yawa da yawa a kowane mataki. Wannan shafin yana amfani da hanyar RK-tsari ta huɗu na gargajiya.

Matakai nawa zan yi amfani da su?

Fara da misali kuma kwatanta sakamako ta amfani da ƙarin matakai. Karamin mataki na iya inganta mafita mai santsi, amma ba zai iya gyara sigularity ko yin ƙaƙƙarfan daidaitawa wanda ya dace da wannan ainihin hanyar.

Zai iya magance kowane nau'in nau'in nau'in nau'i daidai?

A'a. Yana ƙayyadaddun ƙididdiga masu tallafawa matsalolin ƙimar farko-farko. Ba ya bayar da cikakken bayani na alama, tabbatar da keɓantacce ko garantin kuskure.