Bu çalışmada lineer kesir mertebeli difüzyon dalga denkleminin farklı yöntemlerle elde edilmiş nümerik çözümleri incelenmiştir. Çözümlerde temel olarak sonlu elemanlar yöntemi kullanılmıştır. Elde edilen çözümler incelendiğinde Petrov-Galerkin ve Kollokasyon yöntemlerinin diğer benzer yöntemlere göre daha iyi sonuçlar verdiği gözlemlenmiştir.
Yaygın bir kullanım alanına sahip olan bu denklemlerin çözümleri farklı sonlu elemanlar yöntemleri uygulanarak da elde edilebileceği düşünülmektedir. Yapılan çalışmalara bakıldığında uygulanan yöntemler diğer denklem çözümleri için de iyi sonuçlar verecek etkinliktedir.
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