DİFÜZYON DENKLEMİNİN SINIRLAYICI TAYLOR YAKLAŞIMI YARDIMIYLA NÜMERİK ÇÖZÜMÜ

Bu çalışmada, lineer difüzyon denkleminin sınırlayıcı Taylor yaklaşımı yardımıyla nümerik çözümlerielde edilmiştir. Difüzyon denkleminin nümerik çözümü için exp(xA) üstel matris yaklaşımıkullanılmıştır. Bu yaklaşımın avantajı, bazı noktalarda denklemin tam değerine sahip olmasıdır. Difüzyondenklemi için uygulanan yöntem sonucunda elde edilen veriler, yöntemin tutarlı olduğunugöstermektedir.

Anahtar Kelimeler:

Sınırlayıcı Taylor yaklaşımı, Difüzyon denklemi, sonlu farklar

NUMERICAL SOLUTION OF THE DIFFUSION EQUATION WITH RESTRICTIVE TAYLOR APPROXIMATION

In this paper, we solved linear diffusion equation using restrictive Taylor approximations. We use therestrictive Taylor approximation to approximate the exponential matrix exp(xA) . The adventage is thathas the exact value at certain point. We will use a new technique for solution of the Diffusion equation.The results show that the used numerical method produce the good results.

Keywords:

Restrictive Taylor approximation, Diffusion equation, Finite difference,

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