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. 191 (Aug. 2001), page 16.
Topik: metode selisih diferensial; persamaan benjamin-bona-mahonny

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 (U1 + Uux - Uuxt = 0) better known as model equation of nonlinear long wave phenomenon is an alternative model of KdV long wave equation which was very popular before. In this paper we discuss the existence of a problem uU1 + Uux - Uux1 = 0, x e R, t > 0 with initial at t = 0 which is 1 - periodic and the boundary condition u (x + 1 , t) = u (x , t) for all x and t. We use the differential - difference method together with Arzela - Ascoli theorem. This method have applicated for the KdV equation before. From differential - difference method for Benjamin-Bona-Mahony equation can be obtained existance of solution.

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