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Approximate Analytical Solutions of KdV and Burgers’ Equations via HAM and nHAM
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نویسنده
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Nazari Mojtaba ,Barati Vahid ,David Vincent Daniel ,Salah Faisal ,Abdul Aziz Zainal
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منبع
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jurnal teknologi - 2014 - دوره : 67 - شماره : 1 - صفحه:69 -75
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چکیده
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This article presents a comparative study of the accuracy between homotopy analysis method (ham) and a new technique of homotopy analysis method (nham) for the korteweg–de vries (kdv) and burgers’ equations. the resulted ham and nham solutions at 8th-order and 6th-order approximations are then compared with that of the exact soliton solutions of kdv and burgers’ equations, respectively. these results are shown to be in excellent agreement with the exact soliton solution. however, the result of ham solution is ratified to be more accurate than the nham solution, which conforms to the existing finding.
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کلیدواژه
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KdV equation; Burgers’ equation; homotopy analysis method; new homotopy analysis method; approximate analytic solution
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آدرس
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UTM Centre for Industrial and Applied Mathematics, Malaysia, islamic azad university, Department of Mathematics, ایران, UTM Centre for Industrial and Applied Mathematics, Malaysia. Universiti Teknologi MARA, Faculty of Computer and Mathematical Sciences, Malaysia, UTM Centre for Industrial and Applied Mathematics, Malaysia. University of Kordofan, Faculty of Science, Department of Mathematics, Sudan, UTM Centre for Industrial and Applied Mathematics, Malaysia. Universiti Teknologi Malaysia, Faculty of Science, Department of Mathematics, Malaysia
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Authors
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