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2015
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A Quadrature Tau Method for Solving Fractional Integro-differential Equations in the Caputo Sense
A Quadrature Tau Method for Solving Fractional Integro-differential Equations in the Caputo Sense
en
en
In this article, we develop a direct solution technique for solving fractional integro-differential equations (FIDEs) in the Caputo sense using a quadrature shifted Legendre Tau (Q-SLT) method. The spatial approximation is based on shifted Legendre polynomials. A new formula expressing explicitly any fractional-order derivatives of shifted Legendre polynomials of any degree in terms of shifted Legendre polynomials themselves is proved. Extension of the Tau method for FIDEs is treated using the shifted Legendre–Gauss–Lobatto quadrature. The method is illustrated by considering some examples whose exact solutions are available. The results obtained through this method are stable and comparable with the existing methods for a variety of problems with practical applications.
97
107
A.
Yousefi
T. Mahdavi
Rad
S. G.
Shafiei
Shifted Legendre Tau method
Fractional-order derivative
Caputo derivative
Fractional Integro-differential.
Article.1.pdf
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A. H. Bhrawy, A. S. Alofi, S. S. Ezz-Eldien, A quadrature Tau method for fractional differential equations with variable coefficients, App. Math. Letters, 24 (2011), 2146-2152
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]
A Hybrid Model of Particle Swarm Optimization and Continuous Ant Colony Optimization for Multimodal Functions Optimization
A Hybrid Model of Particle Swarm Optimization and Continuous Ant Colony Optimization for Multimodal Functions Optimization
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en
In many real-world optimization problems, multimodal function optimization is considered, in fact, we are faced with a multimodal optimization problem. Particle swarm optimization (PSO) and continuous ant colony optimization (ACOR) are two population-based optimization techniques that work based on probability laws. The main problem of PSO and ACOR algorithms is premature convergence and falling into local optima. One way to solve the problems is to use combinational methods. This paper presents a combinational method including PSO and ACOR in order to improve the search process. The proposed algorithm tries to solve the problem. Standard benchmark functions are used in order to evaluate the proposed algorithm, proposed method was compared with ACOR, PSO and sequential approach with the enlarged pheromone-particle table of the composition of PSO and ACOR Introduced in [8]. Results show that the proposed method is superior.
108
119
Moein Fazeli Hassan
Abadi
Hassan
Rezaei
Multimodal function optimization
Continuous Ant Colony Optimization
Particle Swarm Optimization
Article.2.pdf
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H. Nezam Abadi Poor, M. Rostami, generalization of GCBPSO algorithm, 12th Conference on software engineering, Iran. , (2008), 29-35
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]
Fuzzy Ideals and Fuzzy Soft Ideals of Bch-algebras
Fuzzy Ideals and Fuzzy Soft Ideals of Bch-algebras
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en
The purpose of this paper is the study of algebraic properties of soft sets in a BCH-algebras. In this regards we introduce and study soft ideals and idealistic soft BCH-algebras.
120
128
R.
Moradian
M.
Hamidi
A.
Radfar
Soft set
(Idealistic) soft BCH-algebra
soft ideal
Article.3.pdf
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]
P-stable Hybrid Super-implicit Methods for Periodic Initial Value Problems
P-stable Hybrid Super-implicit Methods for Periodic Initial Value Problems
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en
This paper deals with a class of symmetric (hybrid) P-stable methods for the numerical solution of
special second order initial value problems (IVPs). For linear multistep methods, Lambert and Watson
[5], had shown that a P-stable method is necessarily implicit and that the maximum order attainable by a
P -stable method is at most two. P-stability is important in the case of ’periodic stiffness’ as it is termed
by Lambert and Watson [5], that is, when the solution consists of an oscillation of moderate frequency
with a high frequency oscillation of small amplitude superimposed. In order to overcome the order-barrier
on linear multistep P-stable methods, we developed a new type of implicit formulas of linear multistep
methods. The formulas, which we call to be hybrid super-implicit, are of more implicitness than the socalled
implicit formulas in the sense that they require the knowledge of functions not only at the past and
present time-step but also at the future ones. In the cases when the right hand side of IVP is very complex,
the super-implicit methods are preferred. Also, we have used off-step points which allow us to derive Pstable
schemes of high order. We report numerical experiments to illustrate the accuracy and
implementation aspects of this class of methods.
129
136
M. Mehdizadeh
Khalsaraei
M.
Molayi
Initial value problems
Super-implicit
Hybrid methods
Off-step points
P-stability.
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]
An Asymptotic Stability Criteria of Delay Differential Equations on Time Scals
An Asymptotic Stability Criteria of Delay Differential Equations on Time Scals
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en
Let T be an arbitrary time scale that is unbounded above. In this paper, we will present some stability
criteria for first order delay differential equations
\[x ^\Delta(t) = a(t)x(t) +b(t)x(\tau (t)) \]
using their asymptotic behavior.
137
145
Jamal Saffar
Ardabili
Zahra Poursepahi
Samian
Delay differential equations
Time scale
Asymptotic behavior
Stability.
Article.5.pdf
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M. Adivar, Y. N. Raffoul, Stability and periodicity in dynamic delay equations, Comput. and Math. with Appl., 58 (2009), 264-272
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M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhauser, Boston (2001)
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M. Bohner, G. Sh. Guseinov, Improper integrals on time scales, Dynam. Systems Appl. , 12(1-2) (2003), 45-66
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J. Cermak, M. Urbanek, On the asymptotics of solutions of delay dynamic equations on time scales, Math. and Comput. Model., 46 (2007), 445-458
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]
A Hybrid Mechanism to Detection and Isolation Sinkhole Node for Manets Dsr Protocol
A Hybrid Mechanism to Detection and Isolation Sinkhole Node for Manets Dsr Protocol
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en
A mobile ad hoc network is a group of wireless mobile nodes with a self-organizing system. A malicious node exhibits some unusual behavior, like sending bogus RREQs to generate sinkhole attacks. In this paper, we have presented a hybrid mechanism with three phases that are following: sinkhole indicator, detection and isolation. First, our approach finds the path where the sinkhole node is located on it. Then, the node that detects the existence of the sinkhole node will probe the other nodes to detect if any of them fail to perform the forwarding function. The proposed algorithm has lower overhead and higher time detection than other described algorithms in this paper.
146
153
Azam
Davahli
Hamed Rezvani
Hamedani
Molood
Noghrehabadi
Media
Aminian
Ad-hoc Networks
MAODV protocol
Multicast Routing Protocols.
Article.6.pdf
[
[1]
A. Izadi, A. Sahab, J. Vahidi , A New Mechanism for Traffic Reduction the Service/Resource Discovery Protocol in Ad-Hoc Grid Network, Journal of Mathematics and Computer Science, 6 (2013), 129-138
##[2]
P. Brutch, C. Ko , Challenges in intrusion detection for Ad Hoc networks, Network Associates Laboratories, London, Applications and the Internet Workshops, (2003), 368-373
##[3]
K. Wrona , distributed security: Ad Hoc Networks and Beyond, PAMPAS Workshop, London (2002)
##[4]
M. M. Javidi, M. H. Nattaj , A New and Quick Method to Detect DoS Attacks by Neural Networks, Journal of Mathematics and Computer Science, 6 (2013), 85-96
##[5]
M. Jain, M. P. S Bhatia , A Rough Set Based Approach to Classify Node Behavior in Mobile Ad Hoc Networks, Journal of Mathematics and Computer Science, 11 (2014), 64-78
##[6]
J. Mike , Resisting Malicious Packet Dropping in Wireless Ad Hoc Networks, ADHOC-NOW, 2856 (2003), 151-163
##[7]
K. Gisung, A Cooperative-Sinkhole detection method for mobile ad hoc network, Electronics and communication , 64 (2010), 390-397
##[8]
J. GUO , HEAD: A Hybrid Mechanism of enforce node cooperation in Mobile Ad Hoc Network, Tsinghuu Science and Technology, Vol. 12 (2007)
##[9]
N. Marchang, R. Datta, Collaborative techniques for intrusion detection in mobile ad-hoc networks, , (2008), 508-523
##[10]
M. Nejadkheirallah, M. M. Tajari, Multi-hop Fuzzy Routing for Wireless Sensor Network with Mobile Sink, Journal of Mathematics and Computer Science, 9 (2014), 12-24
##[11]
A. Ghorbannia Delavar, G. H. Mohebpour , ANR: An algorithm to recommend initial cluster centers for k-means algorithm, Journal of Mathematics and Computer Science, 11 (2014), 277-290
##[12]
P. Alberts, O. Camp , Security in Ad Hoc Networks: a General Intrusion Detection Architecture Enhancing Trust Based Approaches, 1st International Workshop on Wireless Information Systems, (2002), 1-12
##[13]
D. Johnson, DA. Moltz, J. Brach , The dynamic source routing protocol for multi-hop wireless Ad Hoc networks, EP C, editor, Ad Hoc Networking, Boston, (2001), 139-72
]
Testing Adverse Selection Using Frank Copula Approach in Iran Insurance Markets
Testing Adverse Selection Using Frank Copula Approach in Iran Insurance Markets
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en
Existence of adverse selection in insurance markets could have irreversible effects on enterprise decision-making process and obligations of insurance companies. In this article, testing adverse selection is done by jointly modeling the coverage selection and accidents frequency using Frank's copula, where the dependence parameter states the existence of relationship between coverage selection and the frequency of accidents. Our margins are modeled by ordered logistic regression model for the coverage selection and negative binomial regression model for the accidents frequency. The copula model is calibrated using 59,547 one-year cross-sectional cases of collision insurance coverage of Iran Insurance co. The results indicate a significant positive coverage selection-accidents frequency relationship.
154
158
Hadi Safari
Katesari
Behrouz Fathi
Vajargah
Adverse Selection
Copula
Logistic Regression
Collision Insurance.
Article.7.pdf
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]
Development of Organizational Strategies by Fuzzy Logic and Mcdm (fmcdm) Case Study Distribution of Book of Marv Eghlim Roshan Company
Development of Organizational Strategies by Fuzzy Logic and Mcdm (fmcdm) Case Study Distribution of Book of Marv Eghlim Roshan Company
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en
One of the important factors for success an organization is Utilization and adoption appropriate strategies with regard to internal and external conditions of organization. In this paper is used the SWOT matrix for evaluation of effective internal and external factors on performance of organization. In addition to fuzzy techniques and Linguistic variables is used for the weighting of the criteria, Since the criteria (internal and external factors) are associated with some ambiguities and uncertainties. Finally, we used OWA method (ordered weighted average) for ranking of strategies.
159
166
M.
Nasrabadi
M. A.
Sobhanallahi
SWOT matrix
FMCDM
Group – Fuzzy MADM
Article.8.pdf
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[1]
M. Kurttilla, M. Pesone, Utilizing the analytic hierarchy process (AHP) in SWOT analysis-a hybrid method and its application to a forest-certification case, Forest policy and Economics, 12 (2000), 41-52
##[2]
L. Swanson, Linking maintenance strategies to performance, Intenatonal Journal of production Economics, 8 (2001), 237-244
##[3]
R.G. Dyson, Strategic development and SWOT analysis at the university of Warwick, European Journal of operational research., 10 (2004), 631-640
##[4]
I. Yuksel, M. Dagdeviren, Using the analytic network process (ANP) in a SWOT analysis, Information sciences , 19 (2007), 3364-3382
##[5]
S. Mehmet, A. Oztekin, Development of a fuzzy ANP based SWOT analysis for the airline industry in Turkey, Expert Systems with Applications, Volume 39, Issue 1, 11 (2012), 14-24
]