2011
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A CYCLONE INDUCED STORM SURGE FORECASTING MODEL FOR THE COAST OF BANGLADESH WITH APPLICATION TO THE CYCLONE `SIDR'
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2
The coast of Bangladesh has a specialty in terms of high bending and many oﬀ shore islands. Incorporation of the coastline and island boundaries properly in the numerical scheme is essential for accurate estimation of water levels due to surge. For that purpose a numerical scheme consisting of very ﬁne mesh is required along the coastal belt, whereas this is unnecessary away from the coast. In this study, a ﬁne mesh scheme covering the coastal belt and islands has been nested into a coarse mesh scheme covering up to 15 N latitude in the Bay of Bengal. For the existence of so many small and big islands and also for high bending of the coastline along the Meghna estuary, a very ﬁne mesh scheme for the region between Barisal and Chittagong is again nested into the ﬁne mesh scheme. A vertically integrated model is developed in Cartesian coordinate system to solve the shallow water equations using semi implicit ﬁnite diﬀerence technique for computing surge associated with storms. The developedsystem is applied on a severe cyclonic storm ’SIDR’ that hit Bangladesh on 15th November, 2007. The computed water levels are found to be in good agreement with those observed.
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77
86


M.
Mizanur Rahman
Shahjalal University of Science & Technology, Sylhet 3114, Bangladesh
Bangladesh
Department of Mathematics
Shahjalal University of Science & Technology,
Iran


G.
Chandra Paul
University of Rajshahi, Rajshahi6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi6205, Bangladesh
Iran


A.
Hoque
University of Rajshahi, Rajshahi6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi6205, Bangladesh
Iran
Bay of Bengal
shallow water model
ﬁnite diﬀerence method
Cyclone Sidr
water level
A MODEL FOR EVOLUTIONARY DYNAMICS OF WORDS IN A LANGUAGE
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2
Human language, over its evolutionary history, has emerged as one of the fundamental deﬁning characteristic of the modern man. However, this milestone evolutionary process through natural selection has not left any ’linguistic fossils’ that may enable us to trace back the actual course of development of language and its establishment in human societies. Lacking analytical tools to fathom the critical essentials of evolutionary mechanism of cultural transmission, we seek the recourse of simulation study as another useful method of enquiry into the evolutionary trajectory of language.In this paper we use a toy model to understand an interesting feature of language evolution, namely, the scenario in which words gets ﬁxed in a population of language users. We obtain simulation for the replicator dynamics that characterise the time rate of change of various words in the given language, using genetic algorithm to simulate the dynamics. We infer that two of the prime determinants for the establishment of a word within a linguistic population are its consonance with the grammar and its communicative eﬃciency.
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87
99


A.
Yadav
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Computer Science & Engineering
Faculty of Science & Technology, ICFAI
Iran


J.
Dash
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI
Iran


M.
Padhee
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI
Iran


S.
Bhattacharya
aculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Mathematics
aculty of Science & Technology, ICFAI
Iran
Language
Complex adaptive system
evolution
Evolutionary game theory Genetic algorithm
Simulation
THE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION
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2
In this paper, we consider the variational homotopy perturbation method (VHPM) to obtain an approximate series solution for the generalized Fisher’s equation which converges to the exact solution in the region of convergence. Comparisons are made among the variational iteration method (VIM), the exact solutions and the proposed method. The results reveal that the proposed method is very eﬀective and simple and can be applied for other nonlinear problems in mathematical.
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101
107


M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran


M.
Mahdavi
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran
Variational Homotopy Perturbation Method
Lagrange multiplier
Fisher’s equation
THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY
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2
In this paper, we apply the Newton’s and He’s iteration formulas in order to solve the nonlinear algebraic equations. In this case, we use the stochastic arithmetic and the CESTAC method to validate the results. We show that the He’s iteration formula is more reliable than the Newton’s iteration formula by using the CADNA library.
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109
115


M. A.
Fariborzi Araghi
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


B.
Youseﬁ
Islamic Azad University, Kermanshah Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Kermanshah Branch,
Iran
Newton’s iteration method
He’s iteration method
Nonlinear equations
Stochastic arithmetic
CESTAC method
CADNA Library
A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS
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2
In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary diﬀerential equation.
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117
123


S. M.
Mirzaei
Faculty of science, Minoodasht Branch, Islamic Azad University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of science, Minoodasht Branch, Islamic
Iran
HPM
Taylor series
Integral Equation
FUSION FRAMES IN HILBERT SPACES
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2
Fusion frames are an extension to frames that provide a framework for applications and providing eﬃcient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.
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125
134


M. S.
Asgari
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


S.
Karimizad
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran
Frame
Fusion Frame
Exact fusion frame
Bessel fusion sequence
Orthonormal fusion basis
NONPOLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTHORDER BOUNDARY VALUE PROBLEMS
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We present a sixthorder nonpolynomial spline method for the solutions of twopoint nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. Numerical method of sixthorder with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications of method, and to compare the computedresults with other known methods.
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135
147


R.
Jalilian
Ilam University, Iran
Department of Mathematics
Ilam University, Iran
Department of Mathematics
Iran
Nonpolynomial spline
Boundary formula
Convergence analysis
THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S
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2
In this paper, we apply the compare the collocation methods of meshfree RBF over diﬀerential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition.
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149
157


S. S.
Mirshojaei
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


S.
Fayazzadeh
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran
partial diﬀerential equations
parabolic equations
radial basis function
collocation method