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

Year 2020, Volume: 10 Issue: 3, 752 - 761, 15.07.2020

Gonca Çelikten Ertan Sürek

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

Abstract

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.

Keywords

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

Abstract

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.

Keywords

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

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