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Numerical Simulation of Diffusion Equation by Means of He's Variational Iteration Method and Adomian's Decomposition Method

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Abstract (2. Language): 
In this study, we obtain approximate solutions for diffusion equation on a finite interval by the Adomian decomposition method (ADM) and variational iteration method (VIM) for three cases and then the numerical results are compared. These results show that the ADM leads to more aççurate results, and they indiçate that only a few terms are sufficient to obtain accurate solutions.
Abstract (Original Language): 
Bu çalışmada, sonlu bir aralıkta üç durumda difuzyon denklemi icin ADM ve VIM yöntemleri kullanılarak yaklaşık çüzümler elde edilmiş ve bulunan bu cozümler karşılaştırıl-mıştır. Elde edilen sonuçlar ADM'nin daha etkili sonuçlar verdiğini göstermiştir. Sayısal sonuçlar, sadece birkaç terimin tam çozümler elde etmek için yeterli olduğunu göstermiştir.
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