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Metode Runge-Kutta Orde Tiga Berdasarkan Kombinasi Konveks Dari Rata-Rata Lehmer

This thesis presents a modi_cation of the third-order Runge-Kutta method based on the convex combination of the Lehmer mean, and its local truncation error. Stability analysis of the proposed methods show that the stability areas of the discussed method are the same as the stability area of the third order Runge Kutta method based on the arithmetic mean. Then the discussed methods are applied to three examples to see its accuracy. Computational results show that the error generated by the proposed methods are smaller than those of some other known third order methods.
Keywords: Convex combination, initial value problem, Lehmer means, Runge- Kutta method

Ketersediaan
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Perpustakaan Universitas Riau 10 15. 218 (0020)
10 15. 218 (0020)
Tersedia
Informasi Detail
Judul Seri
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No. Panggil
10 15. 218 (0020)
Penerbit
Pekanbaru : Universitas Riau – Pasca Sarjana – Tesis Matematika.,
Deskripsi Fisik
xii, 43 hlm.; ill.; 29 cm
Bahasa
Indonesia
ISBN/ISSN
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Klasifikasi
10 15. 218 (0020)
Tipe Isi
-
Tipe Media
-
Tipe Pembawa
-
Edisi
-
Subjek
PASCASARJANA (MAGISTER) MATEMATIKA
Info Detail Spesifik
-
Pernyataan Tanggungjawab
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Tidak tersedia versi lain

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