title

شبیه سازی عددی هیروتا-ساتسوما با معادله KdV توسط RDTM و مقایسه آن با DTM

اباذری, رضا and اباذری, مالک (1390) شبیه سازی عددی هیروتا-ساتسوما با معادله KdV توسط RDTM و مقایسه آن با DTM. Communications in Nonlinear Science and Numerical Simulation ــ 17 (2). pp. 619-629. شاپا 1007-5704

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Title

Numerical simulation of generalized Hirota–Satsuma coupled KdV equation by RDTM and comparison with DTM

English Abstract

In this study, generalized Hirota–Satsuma coupled KdV equation is solved using by two recent semi-analytic methods, differential transform method (DTM) and reduced form ofdifferential transformation method (so called RDTM). The concepts of DTM and RDTM isbriefly introduced, and their application for generalized Hirota–Satsuma coupled KdV equation is studied. The results obtained employing DTM and RDTM are compared withtogether and exact solution. As an important result, it is depicted that the RDTM results are more accurate in comparison with those obtained by classic DTM. The numerical resultsreveal that the RDTM is very effective, convenient and quite accurate to systems of nonlinear equations. It is predicted that the RDTM can be fund widely applicable in engineering

Item Type:Article
زبان سند : انگلیسی
نویسنده مسئول :رضا اباذری
نویسنده :مالک اباذری
Additional Information:Impact Factor (2012) 2.773 Indexed in: ISI, Scopus, Applied Mechanics Reviews, MathSci, INSPEC - Physics Abstracts, Astrophysics Data System
کلیدواژه ها (انگلیسی):Generalized Hirota–Satsuma coupled KdV, equation, Differential transform method (DTM), Reduced DTM (RDTM), Closed form solutions
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:8627
Deposited By: Mr Malek Abazari
Deposited On:26 Jan 1396 06:36
Last Modified:21 Jan 1397 14:53

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