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1 von 10
Kelompok 3
Materi: Persamaan Non Linier
Rekayasa Komputasional
Disusun oleh :
• Andika Prasetya 50410709
• Edo Roy PS 52410246
• Hoki Kurnia 53410326
• Riyan Hadi Saputro 56410080
• Yoga Agusti 58410637
• M.Bagus Irwanto 50406478
Persamaan Non Linier
 Dalam kehidupan sehari-hari, kita sering menemukan
banyak persoalan matematik yang tidak dapat
diselesaikan dengan cara yang formal atau
konvensional, yaitu menggunakan rumus-rumus yang
sudah baku, misalnya persoalan mengenai proses
untuk menentukan akar-akar dari suatu persamaan
polinomial. Cara formal tersebut disebut juga metode
analitik. Dengan metode analitik, kita memperoleh
solusi eksak (tingkat kesalahannya nol). Nama lain
untuk solusi eksak adalah solusi sejati atau solusi
sebenarnya. Tetapi, metode analitik hanya unggul untuk
sejumlah persoalan yang terbatas saja. Masalahnya
persoalan yang muncul dalam dunia nyata sering
melibatkan bentuk dan proses yang rumit. Akibatnya
sulit untuk diselesaikan secara analitik.
Persamaan Non Linier
 Bila metode analitik tidak dapat lagi
diterapkan, maka solusi persoalan matematik
dapat dicari dengan menggunakan metode
numerik. Metode artinya cara, sedangkan
numerik artinya angka-angka. Jadi, metode
numerik secara harfiah berarti cara yang
menggunakan angka-angka, sehingga secara
luas metode numerik dapat diartikan sebagai
suatu teknik yang digunakan untuk
memformulasikan masalah matematik agar
mereka dapat dipecahkan dengan operasi
perhitungan / aritmetika ( +, -, *, / ), dan dalam
setiap tahapan komputasinya melibatkan sistem
komputer karena operasi hitungannya cukup
banyak, rumit dan berulang-ulang.
Persamaan Non Linier
 Dengan metode numerik, kita hanya
memperoleh solusi yang menghampiri
atau mendekati solusi eksak, sehingga
dinamakan solusi hampiran
(approximation) atau solusi pendekatan.
Solusi pendekatan tidak sama dengan
solusi eksak sehingga ada selisih antara
solusi eksak dengan solusi hampiran.
Selisih ini yang disebut dengan galat
(error). Yang diinginkan tentu saja solusi
hampiran dengan galat sekecil mungkin.
Listing Program
Listing Program
Listing Program
Listing Program
Output Program
Daftar Pustaka
 http://galaksipengetahuan.blogspot.co
m/2011/10/aplikasi-metode-secant-
dalam.html
 http://suwandibagus.wordpress.com/2
011/04/25/non-linier/

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Kelompok 3 rk nonlinier

  • 1. Kelompok 3 Materi: Persamaan Non Linier Rekayasa Komputasional Disusun oleh : • Andika Prasetya 50410709 • Edo Roy PS 52410246 • Hoki Kurnia 53410326 • Riyan Hadi Saputro 56410080 • Yoga Agusti 58410637 • M.Bagus Irwanto 50406478
  • 2. Persamaan Non Linier  Dalam kehidupan sehari-hari, kita sering menemukan banyak persoalan matematik yang tidak dapat diselesaikan dengan cara yang formal atau konvensional, yaitu menggunakan rumus-rumus yang sudah baku, misalnya persoalan mengenai proses untuk menentukan akar-akar dari suatu persamaan polinomial. Cara formal tersebut disebut juga metode analitik. Dengan metode analitik, kita memperoleh solusi eksak (tingkat kesalahannya nol). Nama lain untuk solusi eksak adalah solusi sejati atau solusi sebenarnya. Tetapi, metode analitik hanya unggul untuk sejumlah persoalan yang terbatas saja. Masalahnya persoalan yang muncul dalam dunia nyata sering melibatkan bentuk dan proses yang rumit. Akibatnya sulit untuk diselesaikan secara analitik.
  • 3. Persamaan Non Linier  Bila metode analitik tidak dapat lagi diterapkan, maka solusi persoalan matematik dapat dicari dengan menggunakan metode numerik. Metode artinya cara, sedangkan numerik artinya angka-angka. Jadi, metode numerik secara harfiah berarti cara yang menggunakan angka-angka, sehingga secara luas metode numerik dapat diartikan sebagai suatu teknik yang digunakan untuk memformulasikan masalah matematik agar mereka dapat dipecahkan dengan operasi perhitungan / aritmetika ( +, -, *, / ), dan dalam setiap tahapan komputasinya melibatkan sistem komputer karena operasi hitungannya cukup banyak, rumit dan berulang-ulang.
  • 4. Persamaan Non Linier  Dengan metode numerik, kita hanya memperoleh solusi yang menghampiri atau mendekati solusi eksak, sehingga dinamakan solusi hampiran (approximation) atau solusi pendekatan. Solusi pendekatan tidak sama dengan solusi eksak sehingga ada selisih antara solusi eksak dengan solusi hampiran. Selisih ini yang disebut dengan galat (error). Yang diinginkan tentu saja solusi hampiran dengan galat sekecil mungkin.