For analysis of physical properties different materials, rectangular porous fins are used to examine the heat transformation through a system. In this paper, metaheuristic is combined with neural computing modelling study effects temperature changes in fin model. Cuckoo search algorithm as an efficient optimization technique find best weights reduce mean squared error required profile. The governing partial differential equation converted into non-linear ordinary subject certain boundary...

The phenomenon known as the Jeffrey-Hemal flow has become significantly important in diverse engineering and biological fields due to its use transportation of nanofluids across converging diverging channels. authors' current efforts are driven by interdisciplinary development study this field. This research aims examine behavior magnetized they through channels, taking into account impact a thermally balanced Darcy-Forchheimer permeable medium. composed copper oxide (CuO) water. second law...

Engine oil (EO) is employed as a lubricant in various machinery engines. Efficient heat transfers are fundamental requirement for all processes. To improve transfer rates and reduce the energy loss caused by high temperatures, this study focuses on incorporating Iron Oxide (Fe3O4) Cupper (CuO) into engine suspended particles. However, focus of research paper to analyze entropy generation convergent/divergent channel that contains hybrid nanofluid. Mathematical modeling utilized present...

This paper presents a new mathematical model governed by nonlinear fractional-order system of differential equations to investigate the dynamics and optimal control interventions Nipah virus using Caputo derivative. The describes effects inappropriate contact with an infectious corpse as potential route for transmission. We considered two transmission modes while formulating proposed model: Food-borne human-to-human Initially, is evaluated constant controls, fundamental analysis carried out....

Abstract This present paper aims to examine various epidemiological aspects of the monkeypox viral infection using a fractional-order mathematical model. Initially, model is formulated integer-order nonlinear differential equations. The imperfect vaccination considered for human population in formulation. proposed then reformulated fractional order derivative with power law gain deeper understanding disease dynamics. values parameters are determined from cumulative reported cases United...

In this article, the optimal auxiliary function method (OAFM) is extended to general partial differential equations (PDEs). Our proposed highly efficient and provides means of controlling approximate solution's convergence. Illustrative examples are provided prove exceptional consistency PDEs' analytical numerical solutions. OAFM practically very effective where with only one iteration, a fast convergence guaranteed. considered reliable technique high accuracy in finding solutions for such...

In this work, we examine thin film flow of a non-Newtonian third-grade fluid flowing on vertical moving belt. The modelled differential equation is solved using the Homotopy perturbation method and Optimal axillary functions method. solutions obtained by proposed methods are compared through graphs tables. Results reveal efficiency, reliability, fast convergence both as in close agreement. effect different parameters for velocity profile, rate, shear stress belt also investigated. HPM OAFM...

In the last decade, nanoparticles have provided numerous challenges in field of science. The suspended various base fluids can transform flow and heat transfer characteristics. this research work, mathematical model is offered to present 3D magnetohydrodynamics Darcy–Forchheimer couple stress nanofluid over an exponentially stretching sheet. Joule heating viscous dissipation impacts are also discussed model. To examine relaxation properties, proposed Cattaneo–Christov supposed. For first...

This current work presents a comparative study of the fractional-order Cahn-Allen (CA) equation, where non-integer derivative is taken in Caputo sense.The equation an that assists comprehension phase transitions and pattern formation physical systems. describes how different phases matter, such as solids liquids, change interact throughout time. We employ two analytical methods: Laplace Residual Power Series Method (LRPSM) New Iterative (NIM), to solve proposed model. The LRPSM combination...

The main aim of this article is the extension Optimal Homotopy Asymptotic Method to system fractional order integro-differential equations. systems Volterra equations (SFIDEs) are taken as test examples. derivatives defined in Caputo form and optimal values auxiliary constants calculated using well-known method least squares. results obtained by proposed scheme very encouraging show close resemblance with exact values. Hence it will be more appealing for researchers apply different arising...

Density functional theory (DFT) calculations were performed for a series of supramolecular assemblies containing azobenzene (Azo-X where X = I, Br and H) alkoxystilbazole subunits to evaluate their electronic, linear nonlinear optical properties. These are derivatives azobenzene, obtained by the substitution electron-withdrawing electron-donating groups onto molecular skeleton. The interaction energies (Eint) all designed complexes (IA-IF, IIA-IIF IIIA-IIIF) range from -1.0 kcal mol-1 -7.7...

Within the domain of nonlinear dynamics, Belousov-Zhabotinsky reaction system has consistently captivated researchers, sustaining its position as a vibrant and dynamic area exploration. As an enduring subject study, provides continuous opportunities to unravel foundational tenets dynamics within intricate systems. In our quest deepen comprehension this complex system, we introduce innovative methodology for addressing time fractional system. This novel approach leverages both Natural...

The second grade nanofluid flow with Cattaneo-Christov heat flux model by a stretching disk is examined in this paper. characterized Hall current, Brownian motion and thermophoresis influences. Entropy optimization nonlinear thermal radiation, Joule heating absorption/generation also presented. convergence of an analytical approach (HAM) shown. Variation the profiles (velocities, thermal, concentration, total entropy, Bejan number) via influential parameters number are Radial velocity, axial...

We apply optimal homotopy asymptotic method (OHAM) for finding approximate solutions of the Burger's-Huxley and Burger's-Fisher equations. The results obtained by proposed are compared to those Adomian decomposition (ADM) (Ismail et al., (2004)). As a result it is concluded that explicit, effective, simple use.

In this paper, a powerful semianalytical method known as optimal homotopy asymptotic (OHAM) has been formulated for the solution of system Volterra integro‐differential equations. The effectiveness and performance proposed technique are verified by different numerical problems in literature, obtained results compared with Sinc‐collocation method. These show reliability does not require discretization like other methods. Moreover, convergence region can easily be controlled. use OHAM is...

In the current study, minimization of waste in terms sack rejection at a polypropylene bag manufacturing process is achieved. The Six Sigma DMAIC (Define, Measure, Analyze, Improve, Control) approach adopted which results 50% reduction and considerable cost saving. brought to 1.20% from previous average 2.80% using DMAIC. It found that this high rate due low fabric strength obtained weaving section, turn occurred lower tape tenacity values extrusion section. Hence, experimental design...