Stabiliti mutlak bagi kaedah multilangkah bagi menyelesaikan secara terus persamaan perbezaan biasa peringkat dua.

Suleiman, Mohamed (1998) Stabiliti mutlak bagi kaedah multilangkah bagi menyelesaikan secara terus persamaan perbezaan biasa peringkat dua. In: Simposium Kebangsaan Sains Matematik ke 3 (1998), 22-24 Sept 1998, Universiti Putra Malaysia, Serdang.

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Abstract

Bagi persamaan pembezaan biasa (PPB) y = f(x,y), rantau kestabilan mutlak bagi penyelesaian biasa (PPB) tersebut dinyatakan dalam satah hλ 1 dengan hλ 1nilai eigen bagi Jakobian di sesuatu titik (x, y) dan h. panjang langkah yang digunakan. Ditunjukkan bahawa bagi PPB y = ѳy + µy rantau kestabilan mutlak kaedah penyelesaian terusnya tidak dapat dinyatakan dalam satah hλ 1 dengan λ 1 nilai eigen persamaan tersebut. Diterbitkan juga syarat kestabilan I bagi panjang langkah bila kaedah terus ini digunakan, dan analisis ini dikuatkan dengan keputusan berangka.

Item Type:Conference or Workshop Item (Paper)
Keyword:Kestabilan mutlak; Persamaan perbezaan biasa; Kaedah multilangkah; Kaedah pengkamiran terus; Kaedah perbezaan belakang; Nilai eigen; Rantau kestabilan dan pemetaan
Subject:Sciences - Study and teaching - Congresses
Subject:Mathematics - Study and teaching - Malaysia - Congresses.
Subject:Mathematics - Study and teaching - Congresses.
Faculty or Institute:Institute for Mathematical Research
ID Code:18594
Deposited By: Erni Suraya Abdul Aziz
Deposited On:05 Jan 2012 01:03
Last Modified:31 Oct 2013 01:06

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