Eksistensi Solusi Persamaan Benjamin-Bona-Mahonny dengan Metode Selisih Diferensial  

Oleh:

Sariman

Jenis: Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI
Dalam koleksi: Widya: Majalah Ilmiah vol. 18 no. 192 (Sep. 2001), page 53.
Topik: persamaan benjamin-bona-mahonny; metode selisih diferensial

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: MM47.17 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

Benjamin-Bona-Mahonny equation (Ut + Uux + Uxxt = 0) or better known as model equation of non lineat long wave phenomenon is an alternative model of KdV long wave equation which was very popular in the past. In this paper we discussed the existence of a problem Ut + Uux - Uxxt = 0 , x e R , t > 0 with initial at t = 0 which is 1- periodic and the boundary condition of u (x + 1 , t) for all x and t. We used the difference-difference method together with Arzela -A scoli theorem. This method has been applied to the KdV equation. Based on its application on the Benjamin-Bona-Mahonny equarion the solution was obtained.

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