ORIGINAL_ARTICLE
A CYCLONE INDUCED STORM SURGE FORECASTING MODEL FOR THE COAST OF BANGLADESH WITH APPLICATION TO THE CYCLONE `SIDR'
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.
http://ijm2c.iauctb.ac.ir/article_521660_0f2eb22bd5f15128337d493723405890.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
77
86
Bay of Bengal
shallow water model
ﬁnite diﬀerence method
Cyclone Sidr
water level
M.
Mizanur Rahman
true
1
Shahjalal University of Science & Technology, Sylhet 3114, Bangladesh
Bangladesh
Department of Mathematics
Shahjalal University of Science & Technology, Sylhet 3114, Bangladesh
Bangladesh
Department of Mathematics
Shahjalal University of Science & Technology, Sylhet 3114, Bangladesh
Bangladesh
Department of Mathematics
AUTHOR
G.
Chandra Paul
true
2
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
AUTHOR
A.
Hoque
true
3
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
University of Rajshahi, Rajshahi-6205, Bangladesh
Bangladesh
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
A MODEL FOR EVOLUTIONARY DYNAMICS OF WORDS IN A LANGUAGE
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.
http://ijm2c.iauctb.ac.ir/article_521677_eec7bcc158f22dad6028c11538c0a2d0.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
87
99
language
Complex adaptive system
evolution
Evolutionary game theory Genetic algorithm
simulation
A.
Yadav
true
1
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 University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Computer Science & Engineering
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Computer Science & Engineering
AUTHOR
J.
Dash
true
2
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
AUTHOR
M.
Padhee
true
3
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
Faculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Biotechnology
AUTHOR
S.
Bhattacharya
true
4
aculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Mathematics
aculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Mathematics
aculty of Science & Technology, ICFAI University, Rajawala Road, Selaqui, Dehradun 248 197 Uttarakhand India
India
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
THE APPLICATION OF THE VARIATIONAL HOMOTOPY PERTURBATION METHOD ON THE GENERALIZED FISHER'S EQUATION
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.
http://ijm2c.iauctb.ac.ir/article_521679_b7147b0f1d4be5110222da238fecb2e6.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
101
107
Variational Homotopy Perturbation Method
Lagrange multiplier
Fisher’s equation
M.
Matinfar
true
1
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
M.
Mahdavi
true
2
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
THE USE OF THE HE'S ITERATION METHOD FOR SOLVING NONLINEAR EQUATIONS USING CADNA LIBRARY
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.
http://ijm2c.iauctb.ac.ir/article_521682_d41d8cd98f00b204e9800998ecf8427e.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
109
115
Newton’s iteration method
He’s iteration method
Nonlinear Equations
Stochastic arithmetic
CESTAC method
CADNA Library
M. A.
Fariborzi Araghi
true
1
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
B.
Youseﬁ
true
2
Islamic Azad University, Kermanshah Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Kermanshah Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Kermanshah Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS
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.
http://ijm2c.iauctb.ac.ir/article_521692_877d8326f1fbc2e7f5a634a67a6f8595.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
117
123
HPM
Taylor series
Integral Equation
S. M.
Mirzaei
true
1
Faculty of science, Minoodasht Branch, Islamic Azad University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of science, Minoodasht Branch, Islamic Azad University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of science, Minoodasht Branch, Islamic Azad University, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
FUSION FRAMES IN HILBERT SPACES
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.
http://ijm2c.iauctb.ac.ir/article_521693_7719e2c0ec31f897aec1971904650179.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
125
134
Frame
Fusion Frame
Exact fusion frame
Bessel fusion sequence
Orthonormal fusion basis
M. S.
Asgari
true
1
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
S.
Karimizad
true
2
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS
We present a sixth-order non-polynomial spline method for the solutions of two-point 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 sixth-order 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.
http://ijm2c.iauctb.ac.ir/article_521694_1c6825ac0abb0d3c70714cd7759a0928.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
135
147
Non-polynomial spline
Boundary formula
Convergence analysis
R.
Jalilian
true
1
Ilam University, Iran
Department of Mathematics
Ilam University, Iran
Department of Mathematics
Ilam University, Iran
Department of Mathematics
AUTHOR
ORIGINAL_ARTICLE
THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S
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.
http://ijm2c.iauctb.ac.ir/article_521697_d62905505654bfcae2200db40a9e2d35.pdf
2011-03-21T11:23:20
2020-04-05T11:23:20
149
157
partial diﬀerential equations
parabolic equations
Radial Basis Function
collocation method
S. S.
Mirshojaei
true
1
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR
S.
Fayazzadeh
true
2
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics
AUTHOR