Lineer Olmayan Burgers Tip Denklemler İçin Etkili İki Nümerik Yöntem Üzerine

Bu çalışmada, iki sonlu fark yöntemi kullanarak lineer olmayan Burgers tipi denklemlerin çözümleri incelenmiştir. İlk aşamada, denklemleri çözmek için nümerik yöntemler tanımlanmıştır. Daha sonra, nümerik çözümler elde edilmiş ve tam çözümlerle karşılaştırılmıştır. Literatürde tanımlanmış diğer sonuçlarla karşılaştırıldığında, yöntemlerin lineer olmayan Burgers tipi denklemlerin çözümü için güvenilir ve uygun alternatif yöntemler olduğu sonucu kesin bir şekilde elde edilmiştir.

On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations

In this work, we investigate two finite difference schemes to solve for nonlinear Burgers’ type equations. In the first stage, we define the numerical methods to solve the equations. Secondly, numerical solutions are obtained and compared with the exact solutions. In comparison with other defined results in the literature, it is deduced in a conclusive way that the methods are reliable and convenient alternative methods for solving for nonlinear Burgers’ type equations.

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