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International Journal of Nonlinear Analysis and Applications، جلد ۶، شماره ۲، صفحات ۴۷-۶۴
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عنوان انگلیسی An assessment of a semi analytical AG method for solving two-dimension nonlinear viscous flow
چکیده انگلیسی مقاله In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow betweenslowly expanding or contracting walls with weak permeability by utilizing a semi analytical AkbariGanji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficultand the results are not accurate. This new approach is emerged after comparing the achievedsolutions with numerical method and exact solution. Based on the comparison between AGM andnumerical methods, AGM can be successfully applied for a broad range of nonlinear equations.Results illustrate, this method is efficient and has enough accuracy in comparison with other semianalytical and numerical methods. Ruge-Kutta numerical method, Variational Iteration Method(VIM), Homotopy Perturbation Method (HPM) and Adomian Decomposition Method (ADM) havebeen applied to make this comparison. Moreover results demonstrate that AGM could be applicablethrough other methods in nonlinear problems with high nonlinearity. Furthermore convergenceproblems for solving nonlinear equations by using AGM appear small.
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نویسندگان مقاله s طاهرنژاد پورلداری | s tahernejad
department of mechanical engineering, babol university of technology,p.o. box 484, babol, iran

h h mirgolbabaee | h mirgolbabaee
department of mechanical engineering, babol university of technology,p.o. box 484, babol, iran

داود دومیری گنجی | domiri ganji
department of mechanical engineering, babol university of technology,p.o. box 484, babol, iran

نشانی اینترنتی http://ijnaa.semnan.ac.ir/article_270_8c245552ffdda592a356059d08ef5c43.pdf
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