iosr-Jm   Volume-21 ~ Issue-6 ~ Nov. – Dec. 2025

Abstract : The the problem of inferring the jump probabilities of a discrete Random Walk from the probability distribution of the process out equilibrium is addressed. Numerical methods and algorithms for solving this problem in 1 and 2 dimensions, based on the Chapman-Kolmogorov equation, are investigated. The quantification of the a posteriori error of the calculated value is performed. Numerical experiments show the ability of the proposed computational procedure to infer the Random Walk parameters and the related accuracies....

Keywords: Random Walk, inference, reconstruction, out equilibrium, Chapman-Kolmogorov

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Abstract : The study of mathematical tables with their product of summation is equal to same table number of integer “55”. This leads to magic mathematical tables.

Keywords: mathematical tables, magic number

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Abstract : In this paper the general solution provided a new method for solving the axisymmetric elastic space problem of cement concrete. Combining the Love method and the South well method, the South well operator was used in the variable selection process, the displacement function was introduced to express the displacement component by the Love.....

Key Word: axisymmetric, displacement, dimensions, amplitude. geometric equations, stress and strain

[1]. A. E. H. Love, “The Stress Produced In A Semi-Infinite Solid By Pressure On Part Of The Boundary,” Philosophical Transactions Of The Royal Society Of London, Vol. 228, Pp. 377–420, 1929.
[2]. S. Griffin And R. Kellogg, “A Numerical Plane Elasticity Problems,” International Journal Of Solids And Structures, Vol. 3, No. 5, Pp. 781–794, 1967.
[3]. K.N. Bagisbaev “Numerical Solution Of The Aleksandrov-Solovʹev Integral Equations Problems Of Elasticity Theory,” Izv. Akad. Nauk Kazakh. Ssr Ser. Fiz. -Mat, Vol. 1, Pp. 63-64, 1978.
[4]. V. S. Čemeris, “On The Question Of The Numerical Solution Of The First Basic Problem Of Elasticity Theory,” Vyˇisl. Prikl. Mat. (Kiev), Vol. 8, Pp. 134–143, 1969.
[5]. F. J. Rizzo And D. J. Shippy, “A Boundary Integral Approach To Potential And Elasticity Problem With Arbitrary Boundary Conditions,” Mechanics Research Communications, Vol. 6, No. 2, Pp. 99–103, 1979

Abstract : The purpose of this research is to investigate the slip flow characteristics of a non-Newtonian Maxwell nanofluid induced by a stretching sheet embedded in a porous medium, under the combined influences of magnetic and chemical processes. The energy equation incorporates the effects of thermophoresis and Brownian motion to capture nanoparticle transport mechanisms. By applying similarity transformations, the governing partial....

Key Word: Nanofluid; MHD; Maxwell fluid; Porous medium; Chemical reaction; Double diffusion; Stretching sheet;

[1]. Bekezhanova, V. B., Goncharova O. N., Influence Of The Dufour And Soret Effects On The Characteristics Of Evaporating Liquid Flows. Int. J. Heat Mass Tran. 2020; 154: 119696.
[2]. Salleh SNA, Bachok N, Arifin NM, Ali FM. Influence Of Soret And Dufour On Forced Convection Flow Towards A Moving Thin Needle Considering Buongiorno’s Nanofluid Model. Alex Eng. J. 2020;59(5):3897-3906. Doi: 10.1016/J.Aej.2020.06.045.
[3]. A. Majeed, A. Zeeshan, R. Ellahi, Chemical Reaction And Heat Transfer On Boundary Layer Maxwell Ferro-Fluid Flow Under Magnetic Dipole With Soret And Suction Effects, Eng. Sci. Technol., 20 (3) (2017), Pp. 1122-1128.
[4]. A. A. Yinusa, M. G. Sobamowo, M. A. Usman, E. H. Abubakar, Exploration Of Three Dimensional Squeezed Flow And Heat Transfer Through A Rotating Channel With Coupled Dufour And Soret Influences, Therm. Sci. Eng. Progr., 21 (2021), Article 100788.
[5]. S. A. Khan, T. Hayat, A. Alsaedi, Irreversibility Analysis In Darcy-Forchheimer Flow Of Viscous Fluid With Dufour And Soret Effects Via Finite Difference Method, Case Stud. Therm. Eng., 26 (2021), T. Hayat, S. Asghar, A. Tanveer, A. Alsaedi, Chemical Reaction In Peristaltic Motion Of MHD Couple Stress Fluid In Channel With Soret And Dufour Effects, Results Phys., 10 (2018), Pp. 69-80..

Abstract : Introduction: In the field of graph theory, graph labeling is one of the fastest growing area. A graph labeling is defined as an assignment of integers to the nodes or edges or both based on certain conditions. Many types of graph labeling techniques have been studied by several authors.
Objectives: The application of labeling of graphs has diverse fields in the study of the data base management, secret sharing....

Key Word: Labeling, Congruence labeling, Odd-even congruence labeling

[1] Bondy, J. A., And Murty, U. S. R., (1976), Graph Theory With Applications, 2nd Edition, Macmillan, New York.
[2] J.A. Gallian, A Dynamic Survey Of Graph Labeling, The Electronics Journal Of Combinatorics, 2021, # DS6.
[3] M. I. Moussa, And E. M. Badr, Ladder And Subdivision Of Ladder Graphs With Pendant Edges Are Odd Graceful, International Journal On Applications Of Graph Theory In Wireless Ad Hoc Networks And Sensor Networks, Vol.8, No.1, 1-8 (2016).
[4] G.Thamizhendhi, And K.Kanakambika, Some Results On Odd-Even Congruence Labelling Of Graphs, Communications On Applied Nonlinear Analysis, Vol.31, No.1, 141-149 (2024). [5] Ganesan V And Lavanya S, IOSR Journal Of Mathematics,15(6),04–06(2019). [6] Weisstein Eric W,Mathworld..