Comparison of Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method for Improved Boussinesq Equation
محل انتشار: نخستین کنفرانس ملی محاسبات نرم
سال انتشار: 1394
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 324
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شناسه ملی سند علمی:
CSCG01_184
تاریخ نمایه سازی: 29 مهر 1396
چکیده مقاله:
Today nonlinear phenomenons play an important role in applied mathematics, physics and engineering. Explicit solutions of nonlinear partial differential equations sound essential in most caces. In homotopy method, without converting or linearization and by applying homotopy technique in topology, a homotopy with embedded parameters of p Î[0,1] can be created. In this paper, the improved Boussinesq equation will be solved by two methods: homotopy perturbation method and optimal homotopy Asymptotic method. Finally, the results will be compared and evaluated with the numerical values obtained by these methods. It is shown that the results of the optimal homotopy asymptotic method are better than the homotopy perturbation method.
کلیدواژه ها:
Optimal Homotopy Asymptotic Method(OHAM) ، Homotopy Perturbation Method(HPM) ، Improve Boussinesq equation
نویسندگان
Z. Ayati
Depatment of Enginneering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.۴۴۸۹۱-Rudsar-Vajargah,Iran,
Sima ahmady
Ms student, Department of Mathematics, East Tehran Payame Noor University,