In this paper, we address several scientific and technological challenges with a novel non-perturbative approach (NPA), simplifying processing time compared to traditional methods. The proposed transforms nonlinear ordinary differential equations into linear ones, akin simple harmonic motion, producing new frequency. This method yields highly accurate outcomes, surpassing well-known approximate methodologies, as validated through numerical comparisons in mathematical software. congruence...

The present paper deals with the hybrid nano fluid, for this we have used Single and Multi-wall carbon tubes along CuO Water. inclined magneto-hydrodynamics is considered Hall effect, soret dufour impact on Williamson fluid flowing through porous medium over stretching/shrinking lamina having suction injection in consideration. Heat mass convective boundaries are taken to solve nonlinear problem using shooting method bvp4c MATLAB solver. study shows comparison between nanofluid (Cuo-Water,...

We perform an investigation using numerical simulations to examine the influence of magnetohydrodynamics and thermal radiation on mass transport energy properties non-Newtonian Reiner-Philippoff nanofluids. thoroughly species response concerning activation energy, at surface, viscous dissipation, Cattaneo-Christov double diffusions, transfer. This analysis also examines impacts applied transverse magnetic field Ohmic heating. Using appropriate similarity variables converts specified...

Highly nonlinear oscillators are examined in their capacity to simulate intricate systems engineering, physics, biology, and finance, as well diverse behavior, rendering them essential the development of resilient technological advancement. Therefore, fundamental purpose current work is analyze He’s frequency formula (HFF) get theoretical explanations many types very oscillators. We investigate, both analytical computational, relationship between elastic forces solution a specific...

To define the current causes and optimal methods of early diagnosis management ureteric injuries, both iatrogenic (excluding endourologic) traumatic, to determine outcome these injuries which identifiable factors affect this outcome.A retrospective analysis was performed all 35 patients who sustained 40 over a 5-year period (1991-1996). The used for were reviewed. assessed in terms preservation renal function.The study group composed 28 with 32 7 8 caused by external trauma. Gynecologic...

In this article, modified versions of variational iteration algorithms are presented for the numerical simulation diffusion oil pollutions. Three examples given to demonstrate applicability and validity proposed algorithms. The obtained results compared with existing solutions, which reveal that methods very effective can be used other nonlinear initial value problems arising in science engineering.

The goal of this work is to discuss a production inventory model for deteriorating items with nonlinear price and linear stock dependent market demand along an overtime opportunity. corresponding optimization problem articulated mathematically hence solved by using lingo software. To examine the proposed problem's significance, one numerical example deliberated. A sensitivity analysis accomplished on basis systematic changes system parameters. As final point, based effectual conclusion reflected.

This research seeks to examine punching shear reinforcements using various materials and techniques, then evaluate their effectiveness in order increase the strength of flat-slab-column connections (FSCC). Additionally, a novel strengthening method utilizing FRP ropes was suggested investigated. In this study, sixteen FSCC with cross sections (1600 × 1600 150) mm stub columns section 200 total height 700 extended outside both sides slab were constructed tested. The transverse "stirrups" have...

This paper describes a new study that looks at how magnetohydrodynamic (MHD) nanofluid moves and transfers heat over porous medium with stretched sheet in straight line. investigates the effects of radiation, viscous dissipation, convective boundary conditions (CBCs) on dynamics nanofluids, an area has received insuffi-cient exploration despite its significance both commercial scientific contexts. The research formulates fundamental conservation equations for mass, momentum, heat,...

The current research centers around entropy, which is officially defined as an indicator of the possible amount information Lomax (Lo) distribution that quantifies uncertainty random variables. When parameters are unknown under adaptive progressive Using type-II censored data, entropy maximum likelihood estimate (MLE) computed and bootstrap confidence intervals displayed. Bayes estimator demonstrated using both symmetric asymmetric loss functions. In meantime, posterior also to assess how...

Solving nonlinear oscillations is challenging, as solutions to the corresponding differential equations do not exist in most cases. Therefore, numerical methods are usually employed calculate precise oscillation frequency. In addition, many interesting mathematical approaches leading approximate have also been developed. This paper focuses on a classic case of oscillator: oscillator with an odd-power polynomial restoring force. encompasses nearly all scenarios undamped oscillations. The idea...

In this paper, the Liénard oscillator with nonlinear deflection, quadratic damping, and constant excitation is considered. general, there no analytic solution for equation. However, certain parameter values, exact exists has form of Ateb function. addition, weakly perturbed parameters, approximate obtained. For considered equation, independently first integral found. The main advantage that after simple analysis without solving equation motion, it gives important data about oscillation:...

In this paper, a new perturbation technique is employed to solve strongly nonlinear Duffing oscillators, in which parameter α=α(ε) defined such that the value of α always small regardless magnitude original ε. Therefore, oscillators with large ε are transformed into system respect α. Approximate solution obtained by present method compared energy balance method, homotopy global error minimization and lastly numerical solution. We observe from results very simple, easy apply, gives good...

The main motivation of this paper is to apply general formulas the gamma function find analytical solutions some types nonlinear differential equations with recognizable simplicity and less calculation compared other existing methods in literature. accuracy Gamma method (GFM) solving strongly can be displayed through three practical examples arising many different fields engineering science. results obtained analytically are well-known already published literature, such as Akbari-Ganji's...

A modified algebraic method is proposed in this study as an effective semi-analytical for obtaining analytical solutions two types of nonlinear differential equations. The trial solution assumed to be a polynomial, and the approach used find unknown coefficients. To enhance solution, first, we apply Laplace transformation on series then create Padé approximations resultant equation. Finally, problems under discussion, inverse obtain periodic solutions.

Abstract In this article, analytical exact and approximate solutions for fractional physical equations are obtained successfully via efficient method called residual power series (FRPSM). The derivatives described in the Caputo sense. Three applications discussed, showing validity, accuracy efficiency of present method. solution FRPSM shows excellent agreement comparison with from other established methods. Also, can be used to solve nonlinear partial differential equation problems. final...

In this document, we are keen on showing the rough scientific answers for fragmentary differential conditions by utilizing Vieta-Lucas polynomial procedure. The fractional derivatives have represented in Caputo sense. implementation identified with strategy has been produced to degree of admittance estimated arrangements frameworks partial conditions. our model determined as concurrent series effectively process-able segments. A few models tackled representations, emblematic calculation....

Abstract The current development plan for the subject field is based on drilling from numerous Well Head Platform Towers (WHPTs). production buildup target would require many more new WHPTs and hundreds of kilometers pipelines connecting towers to central processing complex its satellites. An alternative strategy a few drilling/production centers (artificial islands and/or large platforms), instead WHPTs, will enable: Significant CAPEX reductionCover or future variations subsurface...