cujse Cankaya University Journal of Science and Engineering 2564-7954 Cankaya University Engineering Mühendislik Numerical Simulation of Diffusion Equation by Means of He's Variational Iteration Method and Adomian's Decomposition Method Numerical Simulation of Diffusion Equation by Means of He’s Variational Iteration Method and Adomian’s Decomposition Method Koyunbakan Hikmet Yılmaz Emrah 02 01 2010 7 1 25 38 05 13 2010 Copyright © 2009, Cankaya University Journal of Science and Engineering 2009 Cankaya University Journal of Science and Engineering

In this study, we obtain approximate solutions for diffusion equation on a finiteinterval by the Adomian decomposition method (ADM) and variational iteration method(VIM) for three cases and then the numerical results are compared. These results showthat the ADM leads to more accurate results, and they indicate that only a few terms aresufficient to obtain accurate solutions.

Bu ¸calı¸smada, sonlu bir aralıkta ¨u¸c durumda dif¨uzyon denklemi i¸cin ADM ve VIMy¨ontemleri kullanılarak yakla¸sık ¸c¨oz¨umler elde edilmi¸s ve bulunan bu ¸c¨oz¨umler kar¸sıla¸stırılmı¸stır. Elde edilen sonu¸clar ADM’nin daha etkili sonu¸clar verdi˘gini g¨ostermi¸stir. Sayısalsonu¸clar, sadece birka¸c terimin tam ¸c¨oz¨umler elde etmek i¸cin yeterli oldu˘gunu g¨ostermi¸stir.

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