METODE PSEUDOSPEKTRAL CHEBYSHEV PADA APROKSIMASI TURUNAN FUNGSI

Authors

  • Ilham Febri Ramadhan

DOI:

https://doi.org/10.25077/jmu.6.1.50-57.2017

Abstract

Abstrak. Metode pseudospektral Chebyshev merupakan metode alternatif selain
metode beda hingga untuk mengaproksimasi turunan suatu fungsi. Pada makalah ini
akan dijelaskan proses konstruksi metode pseudospektral Chebyshev. Matriks diferensiasi
pada metode ini diperoleh dari turunan polinomial yang menginterpolasi titik-titik
diskritisasi dari fungsi yang akan dicari turunannya. Diskritisasi fungsi tersebut diperoleh
dengan menggunakan titik Chebyshev. Metode pseudospektral Chebyshev ini kemudian
dibandingkan dengan metode beda hingga melalui implementasi numerik terhadap suatu
fungsi. Hasil perbandingan yang diperoleh menunjukkan bahwa metode pseudospektral
Chebyshev menghasilkan galat yang jauh lebih kecil dibandingkan dengan metode beda
hingga.

Kata Kunci: Metode beda hingga, metode pseudospektral, titik Chebyshev, matriks
diferensiasi

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Published

01-02-2017

Issue

Vol. 6 No. 1 (2017)

Section

Articles

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