مطالعه عددی معادلات Burgers–Huxley از طریق روش reduced differential transform

اباذری, رضا ، اباذری, مالک (1392) مطالعه عددی معادلات Burgers–Huxley از طریق روش reduced differential transform. Computational and Applied Mathematics ــ 32 (1). ص.ص.1-17. شاپا 0101-8205

پیش نمایش

آدرس اینترنتی رسمی : https://link.springer.com/journal/40314

عنوان انگليسي

Numerical study of Burgers–Huxley equations via reduced differential transform method

خلاصه انگلیسی

Abstract Burgers–Huxley equations and their reduced form are of vital importance in modeling the interaction between reaction mechanisms, convection effects and diffusion transports. In this paper, we applied the reduced form of differential transform method (reduced-DTM), present in previous works, to solving Burgers–Huxley equations and heir three reduced equations, namely, the Burgers equation, the Huxley equation and the Burgers–Fisher equation. The results obtained employing RDTM are compared with previous semi-analytical methods, such as HPM, HAM, DTM and exact solution. As an important result, it is depicted that the RDTM results are more accurate in comparison with those obtained by classic HPM, HAM and DTM. The numerical results reveal that the RDTM is very effective, convenient and quite accurate to time dependance kind of nonlinear equations. It is predicted that the RDTM can be found widely applicable in engineering

نوع سند :مقاله
زبان سند : انگلیسی
نویسنده مسئول :رضا اباذری
اطلاعات اضافی :Impact Factor (2013) 0.485 Indexed in: ISI, Scopus, Google Scholar, EBSCO Discovery Service, CSA Environmental Sciences, Current Contents/Physical, Chemical and Earth Sciences, Mathematical Reviews
کلید واژه ها (انگلیسی):Burger’s equation · Huxley equation · Burgers–Fisher equation ·Burgers–Huxley equation · Reduced differential transform method.
موضوعات :WA بهداشت عمومي > WA. 900 آمار حياتي
WA بهداشت عمومي > WA. 900 آمار حياتي
بخش های دانشگاهی :دانشكده پزشكي > گروه علوم پایه > بخش آمار حياتي
کد شناسایی :8626
ارائه شده توسط : مهندس مالک اباذری
ارائه شده در تاریخ :30 فروردین 1396 09:36
آخرین تغییر :30 فروردین 1396 09:36

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