Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
1
2009
04
01
WELL- POSEDNESS OF THE ROTHE DIFFERENCE SCHEME FOR REVERSE PARABOLIC EQUATIONS
107
131
EN
Allaberen
Ashyralyev
Department of Mathematics, Fatih University, Istanbul,34500, Turkey
aashyralyev@fatih.edu.tr
Ayfer
Dural
Gaziosman Paşa Lisesi Istanbul, Turkey
Yaşar
Sözen
Department of Mathematics, Fatih University, Istanbul,34500, Turkey
ysozen@fatih.edu.tr
http://ijo.iaurasht.ac.ir/article_513242.html
http://ijo.iaurasht.ac.ir/article_513242_b696c46c223d5893189894ebd386e2a2.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
1
2009
07
01
A NOTE ON THE AVERAGING METHOD FOR DIFFERENTIAL EQUATIONS WITH MAXIMA
132
140
EN
Victor
A.
Plotnikov
Department of Optimal Control and Economic Cybernetics Odessa National I.I. Mechnikov University Dvoryanskaya str., 2, Odessa, 65026, Ukraine
Olga
D.
Kichmarenko
Department of Optimal Control and Economic Cybernetics Odessa National I.I. Mechnikov University Dvoryanskaya str., 2, Odessa, 65026, Ukraine
olga.kichmarenko@gmail.com
Substantiation of the averaging method for differential equations with maxima is presented. Two theorems on substantiates for differential equations with maxima are established.
averaging method,DIFFERENTIAL EQUATIONS WITH DELAY,DIFFERENTIAL EQUATIONS WITH MAXIMA,AUTOMATIC REGULATION
http://ijo.iaurasht.ac.ir/article_513243.html
http://ijo.iaurasht.ac.ir/article_513243_5f3c8ae8ea9dc142b1dc6d4d96b4a7fb.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
1
2009
07
01
COMPARING NUMERICAL METHODS FOR THE SOLUTION OF THE DAMPED FORCED OSCILLATOR PROBLEM
141
150
EN
A. R.
Vahidi
Department of Mathematics, Shahr-e-Rey Branch, Islamic Azad University
alrevahidi@yahoo.com
GH.
Asadi Cordshooli
Department of Physics, Shahr-e-Rey Branch, Islamic Azad University
Z.
Azimzadeh
Department of Mathematics, Science and Research Branch, Islamic Azad University
In this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply.
Adomian decomposition method,Differential equation,damped forced oscillator
http://ijo.iaurasht.ac.ir/article_513244.html
http://ijo.iaurasht.ac.ir/article_513244_30c8e012f97a5925f518417591ecc74f.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
1
2009
07
01
INTEGRATING CASE-BASED REASONING, KNOWLEDGE-BASED APPROACH AND TSP ALGORITHM FOR MINIMUM TOUR FINDING
151
161
EN
Hossein
Erfani
Department of computer Lahijan I.A.U.
herfani@gmail.com
Imagine you have traveled to an unfamiliar city. Before you start your daily tour around the city, you need to know a good route. In Network Theory (NT), this is the traveling salesman problem (TSP). A dynamic programming algorithm is often used for solving this problem. However, when the road network of the city is very complicated and dense, which is usually the case, it will take too long for the algorithm to find the shortest path. Furthermore, in reality, things are not as simple as those stated in AT. For instance, the cost of travel for the same part of the city at different times may not be the same. In this project, we have integrated TSP algorithm with AI knowledge-based approach and case-based reasoning in solving the problem. With this integration, knowledge about the geographical information and past cases are used to help TSP algorithm in finding a solution. This approach dramatically reduces the computation time required for minimum tour finding.
CASE-BASED REASONING,KNOWLEDGE-BASED APPROACH,Traveling salesman problem,CASE-BASED TOUR FINDER,KNOWLEDGE-BASED ROUTE FINDER,GEOGRAPHICAL INFORMATION
http://ijo.iaurasht.ac.ir/article_513245.html
http://ijo.iaurasht.ac.ir/article_513245_3c4d2bff5986f79d2b7094d0cd0a9317.pdf