Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-572305120100601Convex Surface Visualization Using Rational Bi- cubic Function420446514127ENMalik Zawwar HussainDepartment of Mathematics, University of the Punjab, Lahore, PakistanFareeha SaadiaDepartment of Mathematics, University of the Punjab, Lahore, PakistanMaria HussainDepartment of Mathematics, Lahore College for Women University, PakistanJournal Article20100430<span>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. </span>Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-572305120100601Canonical representation for approximating solution of fuzzy polynomial equations447454514130ENM. SalehnegadDepartment of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRANS. AbbasbandyDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, IranM. MoslehDepartment of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRANM. OtadiDepartment of Mathematics, Islamic Azad University, Firuozkooh branch, Firuozkooh, IRANJournal Article20100430<span>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. </span>Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-572305120100601An epidemic model for the transmission dynamics of HIV/AIDS with different clinical stages455468514132ENSandip OmarDepartment of Mathematics, Vivekanand Gramodhyog Mahavidhyalaya Dibiyapur-206 244, Auraiya, U.P.(India)Journal Article20100430<span>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. </span>Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-572305120100601Adomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation469476514133ENIyaya C. C.WanjalaSchool of Physical and Applied Science, Kenyatta University P.O BOX 43844-0010, Nairobi, KenyaJournal Article20150830<span>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. </span>