Persamaan tak linear kaedah terbuka
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Persamaan Tak Linear (Kaedah Terbuka) - PowerPoint PPT Presentation


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This presentation will probably involve audience discussion, which will create action items. Use PowerPoint to keep track of these action items during your presentation In Slide Show, click on the right mouse button Select “Meeting Minder” Select the “Action Items” tab

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Persamaan Tak Linear (Kaedah Terbuka)

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Persamaan tak linear kaedah terbuka

  • This presentation will probably involve audience discussion, which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • In Slide Show, click on the right mouse button

  • Select “Meeting Minder”

  • Select the “Action Items” tab

  • Type in action items as they come up

  • Click OK to dismiss this box

  • This will automatically create an Action Item slide at the end of your presentation with your points entered.

Persamaan Tak Linear(Kaedah Terbuka)

Bahari Idrus

Jabatan Komputeran Industri

FTSM


Kaedah terbuka
Kaedah Terbuka which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • kaedah yang mengesan punca secara lelaran dengan menggunakan satu atau dua titik permulaan.

  • Kaedah-Kaedah yang di bincangkan:

    • Kaedah lelaran tepat

    • kaedah Newton-Raphson

    • Kaedah Sekan


Kaedah lelaran titik tetap
Kaedah Lelaran Titik Tetap which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • Kaedah yang paling mudah

  • pengubahsuaian persamaan asal f(x) = 0 menjadi:

  • seterusnya proses lelaran dimulakan dengan suatu nilai awal


Contoh
Contoh which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • Dapatkan punca bagi e-x-x tepat kepada 3 angka perpuluhan. Nilai awal x0 = 0

  • Penyelesaian:

    f(x) = e-x-x =0

    x = e-x

    Maka, formula lelaran:

    xi+1=e-xi

  • Contoh


Kaedah newton raphson
Kaedah Newton-Raphson which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • Kaedah ini, jika ia menumpu, kadar penumpuannya berlaku dengan cepat.

f(x0)

f(x1)

r

x1

x0


Formula newton raphson
Formula Newton-Raphson which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • Dari rajah,

  • Secara am:


Algoritma kaedah newton raphson
Algoritma which will create action items. Use PowerPoint to keep track of these action items during your presentationKaedah Newton-Raphson

  • Mula

  • pilih nilai awal x0 dan 

  • kira f(xi) dan f’(xi). Jika f’(xi)0, ulangi langkah 1 untuk nilai awal yg lain.

  • Jika |f(xi)/f’(xi)|, xi ialah penyelesaian. Jika tidak terus ke langkah 4.

  • kirakan xi+1=xi-f(xi)/f’(xi) dengan i=0,1,2,...

  • Gantikan xi dengan xi+1 dan ulangi langkah 2 untuk xi terkini

  • tamat


Contoh kaedah newton raphson
Contoh which will create action items. Use PowerPoint to keep track of these action items during your presentationKaedah Newton-Raphson

  • Anggarkan punca bagi:

  • Ambil nilai awal

  • Formula:

  • Contoh


Kaedah sekan
Kaedah Sekan which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • Kaedah Sekan digunakan untuk menggelakkan penggunaan terbitan yang ada pada kaedah Newton-Raphson.

  • Ini disebabkan, terdapat terbitan yang sukar diperolehi.

  • Terbitan boleh diperolehi melalui beza terbahagi terhingga.


Persamaan tak linear kaedah terbuka

f(x which will create action items. Use PowerPoint to keep track of these action items during your presentationi)

f(xi-1)

  • kecerunan garis yang menghubungkan titik xi dan xi-1 adalah:

  • maka

xi-1

r

xi+1

xi


Contoh1
Contoh which will create action items. Use PowerPoint to keep track of these action items during your presentation

  • dapatkan punca

  • dengan nilai awal x-1=0 dan x0=1.0

  • Contoh


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