Genelleştirilmiş Burgers–Fisher Denkleminin Açık Logaritmik Sonlu Fark Yöntemi ile Sayısal Çözümü

Yıl 2020, Cilt: 10 Sayı: 3, 752 - 761, 15.07.2020

Gonca Çelikten , Ertan Sürek

https://doi.org/10.17714/gumusfenbil.685545

Öz

Bu
çalışmada genelleştirilmiş Burgers–Fisher denkleminin sayısal çözümleri açık
logaritmik sonlu fark yöntemi (A-LSFY) kullanılarak elde edilmiştir. Elde edilen sayısal çözümler, tam çözümler ve
literatürdeki diğer çalışmalarda elde edilen sayısal çözümlerle
karşılaştırılmıştır. Yapılan bu karşılaştırmalar tablolarla sunulmuştur.

Anahtar Kelimeler

Açık Logaritmik Sonlu Fark Yöntemi (A-LSFY), Genelleştirilmiş Burgers–Fisher Denklemi, Logaritmik Sonlu Fark Yöntemi

Numerical Solution of the Generalized Burgers – Fisher Equation with Explicit Logarithmic Finite Difference Method

Öz

In this study, numerical solutions of
generalized Burgers-Fisher equation are obtained by using explicit logarithmic finite difference method (E-LFDM). Obtained
numerical solutions are compared by exact solutions and numerical solutions
obtained by other studies in literature. These comparisons are presented with
tables.

Anahtar Kelimeler

Explicit Logarithmic Finite Difference Method (E-LFDM), Generalized Burgers–Fisher Equation, Logarithmic Finite Difference Method

Kaynakça

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