iosr-Jm   Volume-19 ~ Issue-5 ~ Sep. – Oct. 2023

Abstract : In this article, I studied the contour plot of some functions. Here I used Wolfram alpha for computing contour plots for these functions. Finally, I have posed some nice Geometric patterns or designs for interior or exterior wall decorations.

Key Words Contour Plot, Geometric Pattern

[1]. Courant, & Et Al, 1996. What Is Mathematics? An Elementary Approach To Ideas And Methods. New York: Oxford University Press. P. 344.
[2]. Hughes-Hallett, & Et. Al., 2013. Calculus : Single And Multivariable (6 Ed.). John Wiley. ISBN 978-0470-88861-2.
[3] Tracy, John C.,1907. Plane Surveying; A Textbook And Pocket Manual. New York: J. Wiley & Sons, P. 337.
[4].
Https://Www.Wolframalpha.Com/Input?I2d=True&I=Contour+Plot.

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Abstract : In this paper, the concept of bi-interior......

Key Words Bi-𝛤-hyperideal, Quasi 𝛤-hyperideal, Minimal 𝛤-hyperideal

[1] P. Corsini And L. Leoreanu, "Applications Of Hyperstructure Theory" Kluwr, Dordrecht, (2003).
[2] B. Davvaz And Violeta Leoreanu-Fotea, V. (2007). "Hyperring Theory And Applications". Usa: International Academic Press..
[3] S. M. Anvariyeh, S. Mirvakilli And B. Davvaz, "On Γ-Hyperideal In Γ-Semihypergroup", Carpathian Jornal Of Mthematics, 26 (2010) 11-23.
[4] S. Ansari, K. Pawar And K. Hila," On Regular And Intra-Regular Γ-Semihypergroups"Creat. Math. Inform., 31(1) (2022) 17-31.
[5] S. Ansari And K. Pawar," On Bi-Γ-Hyperideals And Duo Γ-Semihypergroups"Sotheast Asian Bulletin Of Mathematics, 47(2) (2023) 165-179.

Abstract : In this paper, Author's extent the two warehouses inventory models for non-instantaneous deteriorating items by considering shortages under progressive trade credit policy. In this paper we derived some profit functions for several realistic cases sub cases and scenarios based on the non-instantaneous deterioration and the trade credit period along with the time varying holding cost. The functions formulated as non-linear constrained optimization problem along with the solution procedure. Impact ofi shortages are observed and to illustrate the robustness ofi the model, a comprehensive sensitivity analysis has been performed on the optimal case, which is obtained by solving the hypothetical numerical examples with the help ofi proposed algorithm using Mathematica.

Key Words Inventory theory, non-instantaneous deterioration, Progressive trade credit, two-ware house, Shortages, Time-varying holding costrideal

[1]. Haley, C. W., & Higgins, R. C. (1973). Inventory policy and trade credit financing. Management science, 20(4-part-i), 464-471.
[2]. Goyal, S. K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the operational research society, 335-338.
[3]. Kumar, A., & Chanda, U. (2018). Two-warehouse inventory model for deteriorating items with demand influenced by innovation criterion in growing technology market. Journal of Management Analytics, 5(3), 198-212.
[4]. Gautam, P., Kishore, A., Khanna, A., & Jaggi, C. K. (2019). Strategic defect management for a sustainable green supply chain. Journal of Cleaner Production, 233, 226-241.
[5]. Shaikh, A. A., Cárdenas–Barrón, L. E., Bhunia, A. K., & Tiwari, S. (2019). An inventory model of a three parameter Weibull distributed deteriorating item with variable demand dependent on price and frequency of advertisement under trade credit. RAIRO-Operations Research, 53(3), 903-916..

Abstract :This article aims to obtain mathematical formulation, as well as the discretization expression of the equations to obtain the numerical results of the solution to the Laplace and Poisson operators, it should be mentioned that the development and updating in the architecture and computational devices have allowed greater capacity to store information and speed in its processing, different software applications have been developed and used to implement the finite element method, however, as far as the fronter element method is concerned, there are very few. It should be noted that in its implementation and way of operating it decreases the number of equation systems to be solved, so it is not necessary to use too much memory in its development. Background: The method.....

Key Words Frontier Element Method, Laplace Equation, Poisson Equation, finite element methods

[1]. Alexander H.D. Chenga Daisy T. Cheng, (2005), Heritage and early history of the boundary element method, ELSEVIER, Engineering Analysis with Boundary Elements 29 268–302
[2]. Wing Kam Liu, Shaofan Li & Harold S. Park, (2022), Eighty Years of The Finite Element Method: Birth, Evolution, And Future, Springer, Archives Of Computational Methods In Engineering Volume 29, Pages4431–4453
[3]. H. Song, L. Tao, (2010), Semi-analytical solution of Poisson's equation in bounded domain, Article in The ANZIAM Journal, DOI: 10.21914/anziamj.v51i0.2427 · Source: OAI
[4]. Navuday Sharma, (2014), Formulation of Finite Element Method for 1D and 2D Poisson Equation,IJAREEIE, International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering Vol. 3, Issue 9.
[5]. Pavel Bochev and Max Gunzburger, (2006), On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles, Society for Industrial and Applied Mathematics, SIAM Journal on Numerical Analysis, Vol. 43, No. 1 ,pp. 340-362