FIFTH-ORDER COMPACT FINITE DIFFERENCE SCHEME FOR BURGERS-HUXLEY EQUATION

Öz

The Burgers-Huxley equation arises in several problems in science. The compact finite difference scheme (CFDS) has been developed for the Burgers-Huxley equation. This scheme has been compared different methods for the Burgers-Huxley equation. Dispersive properties are investigated for the linearized equations to examine the nonlinear dynamics after discretisation. The accuracy and computational efficiency of the compact finite differences scheme are shown in numerical test problems.

Anahtar Kelimeler

• Burgers-Huxley equation
• compact finite difference scheme
• dispersion analysis

BURGERS-HUXLEY DENKLEMİ İÇİN BEŞİNCİ MERTEBEDEN KOMPAKT SONLU FARK ŞEMASI

Öz

Bilimde çeşitli problemlerde Burgers-Huxley denklemi ile karşılaşılmaktadır. Bu çalışmada kompakt sonlu fark şeması, Burgers-Huxley denkleminin çözümü için uygulanmıştır. Çözümler farklı yöntemlerle elde edilen sonuçlarla karşılaştırılmıştır. Lineer olmayan denklem diskrize edildikten sonra çözümün doğruluğunu analiz etmek için dağılım analiz yapılmıştır. İncelenen problemler üzerinde kompakt sonlu fark şemasının doğruluğu ve hesaplama verimliliği gösterilmiştir.

Anahtar Kelimeler

• Burgers-Huxley denklemi
• kompakt sonlu fark şeması
• dağılım analiz

Kaynakça

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