This research deals with the study of oscillatory behavior solutions second-order differential equations containing neutral conditions, both in sublinear and superlinear terms, a focus on noncanonical case. The provides careful analysis monotonic properties their derivatives, paving way for deeper understanding this complex behavior. is particularly significant as it extends scope previous studies by addressing more forms equations. Using linearization technique, strict conditions are...

This research focuses on studying the asymptotic and oscillatory behavior of a special class even-order nonlinear neutral differential equations, including damping terms. The aims to achieve qualitative progress in understanding relationship between solutions these equations their associated functions. Leveraging symmetry positive negative simplifies derivation criteria that ensure oscillation all solutions. Using precise techniques such as Riccati method comparison methods, innovative are...

In this article, the heat and mass transfer mechanism of micropolar nanofluid embedded with Buoyancy force magnetic field across an enclosure has been analyzed. Mass, energy, momentum equations are required to construct mathematical model evaluate efficacy thermal performance nanoparticles.The motivation for study is improve efficiency in equipment recovery units industrial engineering processes. Given signification dimensional analysis, 2D set up their dimensionless context. addition,...

This research examines the thin-film nanomaterial movement in three dimensions over a stretchable rotating inclined surface. Similarity variables are used to transform fundamental systems of equations into set first-order differential equations. The Runge-Kutta Fourth Order approach is utilized for numerical computations. impact embedded parameters (variable thickness, unsteadiness, Prandtl number, Schmidt Brownian-motion, and thermophoretic) examined carefully. Physically statistically,...

This research presents the stagnation point flow with heat transfer of water-based hybrid nanofluid over a stretching/shrinking wedge. Magnetic field is applied normal to wedge melting effect. The wall boundary slip effect on surface. Water as base fluid two different nanoparticles (Al2O3 and Cu) considered. Navier-Stokes equation are first simplified through similarity variables convert partial differential equations (PDEs) into non-dimensional ordinary (ODEs). numerical solutions obtained...

Electricity theft and fraud in energy consumption are two of the major issues for power distribution companies (PDCs) many years. PDCs around world trying different methodologies detecting electricity theft. The traditional methods non-technical losses (NTLs) detection such as onsite inspection reward penalty policy have lost their place modern era because ineffective time-consuming mechanism. With advancement field Artificial Intelligence (AI), newer efficient NTL been proposed by...

The present work discusses the 2D unsteady flow of second grade hybrid nanofluid in terms heat transfer and MHD effects over a stretchable moving flat horizontal porous plate. entropy system is taken into account. magnetic field Joule heating are also considered. Tiny-sized nanoparticles silicon carbide titanium oxide dispersed base fluid, kerosene oil. Furthermore, shape factors tiny-sized particles (sphere, bricks, tetrahedron, platelets) explored discussed detail. mathematical...

This research investigates the oscillation criteria of nonlinear second-order neutral differential equations with multiple delays, focusing on their noncanonical forms. By leveraging an innovative iterative technique, new relationships are established to enhance monotonic properties positive solutions. These advancements lead derivation novel that significantly extend and refine existing body knowledge in this domain. The proposed address gaps literature, providing a robust framework for...

In this work, fundamental flow problems, namely, Couette flow, fully developed plane Poiseuille and Couette–Poiseuille flow of a third-grade non-Newtonian fluid between two horizontal parallel plates separated by finite distance in fuzzy environment are considered. The governing nonlinear differential equations (DEs) converted into (FDEs) explain our approach with the help membership function (MF) triangular numbers (TFNs). Adomian decomposition method (ADM) is used to solve problems based on...

In this work, we analyze the characteristics of periodic flows in non-isothermal viscous fluid over a heated block presence thermal plates at Reynolds number <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m1"><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mn>100</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> . The unsteady, incompressible Navier–Stokes (NS) equations with suitable initial and...

In this study, we have used Lie group analysis procedure to propose a novel model for transforming the governing equations of double diffusive MHD hyperbolic tangent fluid flow into system nonlinear ordinary differential (ODEs). The solution these is then investigated numerically by employing Shooting method. We also reported and presented our results graphically illustrating physical parameters on concentration, velocity, temperature profiles other quantities present in model. show that...

In this study, a new modification of the newly developed semi-analytical method, optimal auxiliary function method (OAFM) is used for fractional-order KdVs equations. This called fractional (FOAFM). The time derivatives are treated with Caputo sense. A rapidly convergent series solution obtained from FOAFM and validated by comparing other results. analysis proves that our simplified applicable, contains less computational work, has fast convergence. beauty there no need to assume small...

Abstract Multiple coating assessments of fiber optics utilizing micropolar convection non-Newtonian third-order liquid in the existence Hall effect are examined and executed throughout this academic article. The wet-on-wet (WOW) process is used research. fourth Runge–Kutta–Fehlberg algorithm to computationally solve governing equations which dictate movement fluid inside container. In research, RK4-Fehlberg applied get numerical results for a list nonlinear ordinary differential (ODEs)...

In this article, we are focusing on heat and mass transfer through a Multicomponent tubular reactor containing cooling jacket by thermal decomposition of propylene oxide in water. The chemical reaction is an irreversible, 1st order exothermic that yields glycol with enthalpy = -84,666 J/mol. constant rate the followed Arrhenius equation which activation energy taken trial basis range from 75,000 to 80,000 J/mol fixed frequency factor. For fluid flow, Reynolds number kept 100 1000. three...

Numerous types of carbon nanostructure have been found experimentally, including nanotubes, fullerenes and nanocones. These structures applications in various nanoscale devices the joining these may lead to further new configurations with more remarkable properties applications. The join profile between different nanostructures a symmetric configuration be modelled using calculus variations. In previous studies, were assumed deform according perfect elasticity, thus elastic energy, depending...

The current study investigated the formation of entropy in a nanofluid flow wedge with thermal radiation and convective boundary conditions. Nanoparticle aggregation is also taken into consideration. rate heat transmission water‐based aggregated fluid over has been due to effects radiation. A set nonlinear differential equations governs process, these are numerically solved using helpful approach called Runge‐Kutta‐Fehlberg scheme. This method starts by breaking down collection first‐order...

Different nanostructures of boron nitride have been observed experimentally such as fullerenes, tubes, cones, and graphene. They received much attention due to their physical, chemical, electronic properties that lead them numerous applications in many nanoscale devices. Joining between gives rise new structures with outstanding potential for the design probes scanning tunneling microscopy other devices, carriers drug delivery liquid separation. This paper utilizes calculus variations model...

Higher-order correlations measured in lead collisions examined the geometrical strength as well coherence–chaotic characteristics of particles creation region. The three- and four-particle quantum can delineate system pions at small relative momentum region observe a significant innovative penchant about granular sources with various parameters. Such conglomerate correlation functions their corresponding genuine are rarely analyzed higher-order computation via invariant momenta to search...

In this study, we proposed a new model to improve the accuracy of forecasting stock market volatility pattern. The hypothesized was validated empirically using data set collected from Saudi Arabia Exchange (Tadawul). is daily closed price index August 2011 December 2019 with 2027 observations. combines best maximum overlapping discrete wavelet transform (MODWT) function (Bl14) and exponential generalized autoregressive conditional heteroscedasticity (EGARCH) model. results show model's...

In this work, we investigate new oscillation conditions of delay differential equations second-order. We start by finding relations and inequalities between the corresponding function its solution, also with derivatives. The allow us to improve asymptotic solutions equation. By using an improved method approach, obtain criteria that test all oscillation. article provides some examples highlight significance properties.

In this work, we find new oscillation criteria for fourth-order advanced differential equations with a p-Laplace-type operator. We established our results through comparison method integral averaging and Riccati techniques to obtain oscillatory properties the considered equation. Our substantially simplify complement number of existing ones. give some examples illustrate significance obtained results.

In this study, we use the integral averaging methodology, comparison with second-order differential equations, and Riccati technique to determine Philos-type Hille–Nehari-type oscillation conditions of fourth-order advanced equations canonical operators. essence, these techniques supplement generalize a wide range established conditions. Two instance cases demonstrate importance our outcomes their significant improvement.

Boron nitride (BN) nanomaterials such as boron graphenes, nanotubes, and nanocones are attracting attention among the most promising due to their physical, chemical, electronic properties when compared other nanomaterials. BN suggest many exciting potential applications in various fields. Joining between nanostructures gives new enhanced structures with outstanding for design of probes scanning tunnelling microscopy nanoscale devices. This paper uses calculus variations model joining...

Chemical graph theory is a field of mathematical chemistry that links mathematics, chemistry, and to solve chemistry-related issues quantitatively. Mathematical an area mathematics employs methods tackle chemical-related problems. A graphical representation chemical molecules, known as the molecular substance, one these tools. topological index (TI) function assigns numerical value (molecular) predicts many physical, chemical, biological, thermodynamical, structural features network. In this...