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# Persamaan Tak Linear (Kaedah Terbuka) - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Persamaan Tak Linear (Kaedah Terbuka)' - darrin

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Presentation Transcript

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

f(x0)

f(x1)

r

x1

x0

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 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 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 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.

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

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