i i i i i i i i i i i i i i i i i i i i y x f y f h w x f h w y x f h w w y y y

I i i i i i i i i i i i i i i i i i i i y x f y f h w

This preview shows page 28 - 37 out of 49 pages.

iiiiiiiiiiiiiiiiiiiiyxfyfhwxfhwyxfhwwyyyfKxfhhwyxfhwwyyyfKxfhyxfhwyxfhwyyngSubstitutiyfKxfhyxfKyhxf
Background image
DERIVATION OF 2NDORDER RUNGE-KUTTA METHODS 5 OF 5 2921,1:solutionpossibleOnesolutionsinfiniteunknowns4withequations321and,21,1:equationsthreefollowingtheobtainweterms,Matching)(2),(),(...),(),()(:for expansionstwoderivedWe21222132122222111wwwwwwhOhyxfyfxfhyxfyyyxfyfhwxfhwyxfhwwyyyiiiiiiiiiiiii
Background image
2NDORDER RUNGE-KUTTA METHODS 3021and,21,1:thatsuch,,,Choose),(),(22212122111121wwwwwwKwKwyyKyhxfhKyxfhKiiiiii
Background image
ALTERNATIVE FORM 22111121),(),(KuttaeOrder RungSecondKwKwyyKyhxfhKyxfhKiiiiii3122111121),(),(FormeAlternativkwkwhyykhyhxfkyxfkiiiiii
Background image
CHOOSING , , W1AND W232CorrectorSinglea with'isThis),(),(221),(),(:becomesmethodKutta -eOrder RungSecond21,1then,1choosingexample,For 01121112121s Method HeunyxfyxfhyKKyyKyhxfhKyxfhKwwiiiiiiiiiii
Background image
CHOOSING , , W1AND W233MethodMidpointtheisThis)2,2()2,2(),(:becomesmethodKutta -eOrder RungSecond1,0,21then21Choosing12112121KyhxfhyKyyKyhxfhKyxfhKwwiiiiiiiii
Background image
2NDORDER RUNGE-KUTTA METHODS ALTERNATIVE FORMULAS 342111i2121211),(),()0(selectmulasKutta ForeOrder RungSecondKKyyKyhxfhKyxfhKiiiii211,21,:numbernonzeroany Pick1,21,21122122wwwwww
Background image
SECOND ORDER RUNGE-KUTTA METHOD EXAMPLE CISE301_Topic8L4&5 358269.32/)1662.018.0(42/)1()01.01(1662.0))01.()18.0(1(01.0),(18.0)1(01.0)4,1(:1STEP1,01.0,4)1(,1)(RK2using(1.02)findtosystemfollowingtheSolve2130201002302000132KKxxtxKxhtfhKtxxtfhKhxtxtxx
Background image
SECOND ORDER RUNGE-KUTTA METHOD EXAMPLE 366662.3)1546.01668.0(218269.321)01.1()01.001.1(1546.0))01.()1668.0(1(01.0
Background image
Image of page 37

You've reached the end of your free preview.

Want to read all 49 pages?

  • Spring '14

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes