title

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

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

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Official URL: https://link.springer.com/journal/40314


Title

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

English Abstract

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

Item Type:Article
زبان سند : انگلیسی
نویسنده مسئول :رضا اباذری
Additional Information: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
کلیدواژه ها (انگلیسی):Burger’s equation · Huxley equation · Burgers–Fisher equation ·Burgers–Huxley equation · Reduced differential transform method.
Subjects:WA Public Health > WA. 900 Vital Statistics
WA Public Health > WA. 900 Vital Statistics
Divisions:Faculty of Medicine > Department of Basic Sciences > Department of Vital Statistics
ID Code:8626
Deposited By: Mr Malek Abazari
Deposited On:30 Jan 1396 09:36
Last Modified:30 Jan 1396 09:36

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