Text
Metode Numerik untuk Persamaan Diferensial Biasa dan Aplikasinya dengan Python
Daftar isirnPengantar Penulis .......................................................................... vii rnDaftar Isi ....................................................................................... ix rnDaftar Gambar ............................................................................... xi rnDaftar Tabel................................................................................... xivrnrnBAB 1 PENDAHULUAN ............................................................. 1 rn1.1. PERSAMAAN DIFERENSIAL ....................................... 1 rn1.2. MASALAH NILAI AWAL .............................................. 5 rn1.3. MASALAH KONDISI BATAS ....................................... 7 rn1.4. EKSPANSI DERET TAYLOR DAN ORDE AKURASI .. 10 rn1.5. LATIHAN ....................................................................... 15rnrnBAB 2 METODE EULER ............................................................. 19 rn2.1. METODE EULER EKSPLISIT........................................ 20 rn2.2. METODE EULER IMPLISIT .......................................... 26 rn2.3. METODE TRAPESIUM .................................................. 31 rn2.4. LATIHAN ....................................................................... 34rnrnBAB 3 METODE RUNGE-KUTTA .............................................. 38 rn3.1. METODE RUNGE-KUTTA ORDE DUA........................ 39 rn3.2. METODE RUNGE-KUTTA ORDE EMPAT ................... 46 rn3.3. LATIHAN ....................................................................... 59rnrnBAB 4 METODE PREDIKTOR-KOREKTOR .............................. 62 rn 4.1. METODE ADAM-BASHFORTH .................................... 62 rn4.1.1. Skema AB-2 ........................................................... 63 rn4.1.2. Skema AB-4 ........................................................... 64 rn4.2. METODE ADAM-MOULTON ....................................... 69 rn4.2.1. Skema AM-2 .......................................................... 71 rn4.2.2. Skema AM-4 .......................................................... 72 rn4.3. SKEMA ADAM-BASHFORTH-MOULTON .................. 74 rn4.4. LATIHAN ....................................................................... 82rnrnBAB 5 METODE GRÜNWALD-LETNIKOV............................... 85 rn5.1. PENGANTAR KALKULUS FRAKSIONAL................... 85 rn5.2. PERSAMAAN DIFERENSIAL FRAKSIONAL .............. 94 rn5.3. SKEMA GRÜNWALD-LEKTNIKOV ............................ 96rn5.4. LATIHAN ........................................................................ 102rnrnBAB 6 METODE TEMBAKAN ..................................................... 105 rn6.1. PENGANTAR METODE TEMBAKAN ........................... 106 rn6.2. METODE TEMBAKAN UNTUK MASALAH KONDISI BATAS LINEAR.............................................................. 106 rn6.3. METODE TEMBAKAN UNTUK MASALAH KONDISI BATAS NONLINEAR ..................................................... 108 rn6.4. LATIHAN ........................................................................ 114rnrnBAB 7 METODE BEDA HINGGA ................................................ 117 rn7.2. MASALAH KONDISI BATAS LINEAR ......................... 122 rn7.3. ALGORITMA THOMAS ................................................. 128 rn7.4. KONDISI BATAS NEUMANN DAN KONDISI BATAS ROBIN ............................................................................. 130 rn7.5. MASALAH KONDISI BATAS NONLINEAR ................. 137 rn7.6. LATIHAN ........................................................................ 139rnrnAPENDIKS: Pengantar Bahasa Pemrograman Python .................... 145 DAFTAR PUSTAKA ..................................................................... 151 rnINDEKS ......................................................................................... 153 BIOGRAFI PENULIS .................................................................... 155
No other version available