2013
5
1
1
57
Convex Surface Visualization Using Rational Bi cubic Function
2
2
The rational cubic function with three parameters has been extended to rational bicubic function to visualize the shape of regular convex surface data. The rational bicubic 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.
1

420
446


Malik
Zawwar Hussain
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Department of Mathematics, University of
Pakistan
malikzawwar@math.pu.edu.pk


Fareeha
Saadia
Department of Mathematics, University of the Punjab, Lahore, Pakistan
Department of Mathematics, University of
Pakistan


Maria
Hussain
Department of Mathematics, Lahore College for Women University, Pakistan
Department of Mathematics, Lahore College
Pakistan
Rational bicubic function
Convex Surface
free parameters
Canonical representation for approximating solution of fuzzy polynomial equations
2
2
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.
1

447
454


M.
Salehnegad
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
Department of Mathematics, Islamic Azad University
Iran


S.
Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran
Department of Mathematics, Science and Research
Iran


M.
Mosleh
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
Department of Mathematics, Islamic Azad University
Iran


M.
Otadi
Department of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRAN
Department of Mathematics, Islamic Azad University
Iran
mahmood_otadi@yahoo.com
Fuzzy number
Canonical representation
Polynomial equations
An epidemic model for the transmission dynamics of HIV/AIDS with different clinical stages
2
2
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, preAIDS, 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 nontrivial 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.
1

455
468


Sandip
Omar
Department of Mathematics, Vivekanand Gramodhyog Mahavidhyalaya Dibiyapur206 244, Auraiya, U.P.(India)
Department of Mathematics, Vivekanand Gramodhyog
India
epidemic model
HIV/AIDS
Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of EulerPoisson Darbuox equation
2
2
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.
1

469
476


Iyaya
Wanjala
School of Physical and Applied Science, Kenyatta University P.O BOX 438440010, Nairobi, Kenya
School of Physical and Applied Science, Kenyatta
Kenya
Adomian decomposition method
Singular Cauchy problem