Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
1
2010
06
01
Convex Surface Visualization Using Rational Bi- cubic Function
420
446
EN
Malik
Zawwar Hussain
Department of Mathematics, University of the Punjab, Lahore, Pakistan
malikzawwar@math.pu.edu.pk
Fareeha
Saadia
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Maria
Hussain
Department of Mathematics, Lahore College for Women University, Pakistan
The rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are derived on four of these parameters to visualize the shape of convex surface data while other two are free to refine the shape of surface at user choice. The developed constraints on parameters act as sufficient conditions for visualization of convex surface data. Moreover, computationally simple and less time consuming as compared to exiting techniques.
Rational bi-cubic function,Convex Surface,free parameters
http://ijo.iaurasht.ac.ir/article_514127.html
http://ijo.iaurasht.ac.ir/article_514127_41057d606b1969fe2e28b01b0baaef6d.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
1
2010
06
01
Canonical representation for approximating solution of fuzzy polynomial equations
447
454
EN
M.
Salehnegad
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
S.
Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran
M.
Mosleh
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
M.
Otadi
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
mahmood_otadi@yahoo.com
In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness.
Fuzzy number,Canonical representation,Polynomial equations
http://ijo.iaurasht.ac.ir/article_514130.html
http://ijo.iaurasht.ac.ir/article_514130_b4c23ee5b81c5bf3366aa0061db93d90.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
1
2010
06
01
An epidemic model for the transmission dynamics of HIV/AIDS with different clinical stages
455
468
EN
Sandip
Omar
Department of Mathematics, Vivekanand Gramodhyog Mahavidhyalaya Dibiyapur-206 244, Auraiya, U.P.(India)
In this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of HIV/AIDS within a population of varying size. In writing the model, we have divided the population under consideration into five sub classes of susceptible, infective, pre-AIDS, AIDS related complex and that of AIDS patients. The model has two non- negative equilibria namely, a disease free and the endemic equilibrium. The model has been studied using stability theory. It is shown that the positive non-trivial equilibrium is always locally stable but it may become globally stable under certain condition showing that the disease becomes endemic due to constant migration of the population into the habitat. The effect of various parameters on the spread of the disease has also been discussed.
epidemic model,HIV/AIDS
http://ijo.iaurasht.ac.ir/article_514132.html
http://ijo.iaurasht.ac.ir/article_514132_e6c1696f8dd3df68e602707e39a80f18.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2008-5427
05
1
2010
06
01
Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation
469
476
EN
Iyaya
C. C.
Wanjala
School of Physical and Applied Science, Kenyatta University P.O BOX 43844-0010, Nairobi, Kenya
n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem.
Adomian decomposition method,Singular Cauchy problem
http://ijo.iaurasht.ac.ir/article_514133.html
http://ijo.iaurasht.ac.ir/article_514133_19de65625a48870c6f22c634cc3bf362.pdf