EFFICIENT COMPUTATION OF THE M-CLOSURE FOR SOLVABLE PERMUTATION GROUPS

This research presents a novel approach to efficiently compute the m-closure of solvable permutation groups of degree n. The m-closure is an essential concept in group theory, particularly in understanding the structure and properties of permutation groups. We propose an algorithm that constructs the m-closure with a time complexity of nO(m), significantly improving the computational efficiency compared to existing methods. Through rigorous mathematical analysis and computational experiments, we demonstrate the effectiveness and scalability of our approach

A MODEL ON MHD CONVECTIVE TIN-OXIDE (TiO2) NANOFLUID FLOW OVER A CYLINDERICAL POROUS PLATE

Abstract: In this study, a model of MHD convective tin-oxide(TiO2) nanofluid flow over a cylindrical porous plate was examined. The governing equations of continuity, momentum, energy, and concentration modelled in terms of partial differential equations with boundary conditions were non-dimensionalised using the Buckingham’s π-theorem and then were transformed into ordinary differential equations using the regular perturbation technique, each of these equations was solved in isolation using Frobenius Method which gave the analytic solutions. The solutions obtained for the momentum, energy, and concentration were subjected to analysis which gave the results for the temperature profile, concentration profile, and velocity profile graphically. It was observed that, when the radiation parameter was increased, the temperature profile dropped; as the chemical reaction was increased, the concentration profile and the velocity profile were reduced; again as the magnetic field number was increased, it lowered the profile of the velocity. The velocity profile was enhanced with an increase in the porosity parameter, and this, as a result, tended to increase in the size of the pore spaces of the porous medium; the concentration profile, temperature profile, and velocity profile all improved as the nanofluid volume fraction increased. Keywords: Nanofluid, MHD flow, Convection, Cylindrical Porous Plate, Analytical Solutions. Title: A MODEL ON MHD CONVECTIVE TIN-OXIDE (TiO2) NANOFLUID FLOW OVER A CYLINDERICAL POROUS PLATE Author: Tombotamunoa W. J. Lawson, Isobeye George, Alalibo T. Ngiangia International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Vol. 11, Issue 1, April 2023 - September 2023 Page No: 101-121 Research Publish Journals Website: www.researchpublish.com Published Date: 20-September-2023 DOI: https://doi.org/10.5281/zenodo.8362486 Paper Download Link (Source) https://www.researchpublish.com/papers/a-model-on-mhd-convective-tin-oxide-tio2-nanofluid-flow-over-a-cylinderical-porous-plateInternational Journal of Mathematics and Physical Sciences Research, ISSN 2348-5736 (Online), Research Publish Journals, Website: www.researchpublish.co

Analytical Modelling of Steady-State Solutions and its Implication

The interaction between two biological species depends on the process of mathematical modelling. When two plant speciescompete for limited resources, we have used the analytical method to calculate four (4) steady-state solutions which representvalid coexistence two semi-trivial, and a trivial steady-state solution from a first order nonlinear differential equations with theirbiological implications. The full results of this study are presented and discussed