METODE PSEUDO ARC-LENGTH DAN PENERAPANNYA PADA PENYELESAIAN SISTEM PERSAMAAN NONLINIER TERPARAMETERISASI
DOI:
https://doi.org/10.25077/jmu.5.4.9-17.2016Abstract
Abstrak. Pada makalah ini dibahas tentang penurunan metode pseudo arc-length dalam
menyelesaikan sistem persamaan nonlinier terparameterisasi dimana kurva solusinya
memiliki titik balik. Ide dari metode ini adalah menambahkan persamaan bidang yang
tegak lurus terhadap vektor singgung kurva pada sistem asal, sehingga diperoleh sistem
diperluas yang selanjutnya diselesaikan dengan menggunakan metode Newton-Raphson.
Metode pseudo arc-length ini kemudian diimplementasikan dalam pemrograman Matlab
dengan mengambil contoh kasus pada penyelesaian persamaan Bratu diskrit.
Kata Kunci: Metode pseudo arc-length, persamaan nonlinier terparameterisasi, metode
Newton-Raphson, turunan parsial, vektor singgung
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