6 articles for “non linear boundary”

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Research ArticleOpen accessPhrase in the titleSolving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton MethodZanariah Abdul Majid, Phang Pei See, Mohamed SuleimanProblem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches involving BVPs will reduced the problem to a system of first order Ordinary Differential Equations (ODEs). This approach is very well established but it obviously will enlarge the systems of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,882 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOptimal Meshing of Structured Boundary Domains in Numerical AnalysesArnulf Kost, Kokou Tcharie, Ayité Senah Akoda Ajavon et al.The analysis of a practical problem using numerical methods such as Finite Element Method (FEM) or Boundary Element Method (BEM) involves the subdivision of the space occupied by a physical system (named domain) or its boundary into sub-domains or sub-boundaries called elements. This task, known as mesh generation or domain-discretization, is no more trivial if domains of real or industrial … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 4 · 23 Oct 2017 · 7,849 accessesView PDF Cite

Research ArticleOpen accessIn the abstractVariable Viscosity, Chemical Reaction and Thermal Stratification Effects on Mixed Convection Heat and Mass Transfer along a Semi-Infinite Vertical PlateP. Geetha, M.B.K. MoorthyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics in a viscous fluid over a semi-infinite vertical porous plate by taking into account the variable viscosity, chemical reaction and thermal stratification effects. Approach: The governing partial differential equations were transformed into a set of coupled non-linear ordinary differential equations, which … …American Journal of Applied Sciences, Vol. 8, Issue 6 · 13 Jun 2011 · 6,848 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSoret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Surface TemperatureHassan A.M. El-ArabawyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium with surface temperature distribution proportional to xλ by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. Approach: The governing partial differential equations were transformed into a … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,485 accessesView PDF Cite

Research ArticleOpen accessIn the abstractDynamic Stress Analysis of the Arterial Wall Utilizing Physiological Pressure WaveformsM.M. Khani, M. Tafazzoli-Shadpour, S. Delavarpour et al.Arterial diseases, promoted by alterations in arterial wall properties, are among the main causes of mortality. Mechanical stresses of the arterial wall caused by pulsatile luminal pressure define arterial function in normal and pathological conditions. This study aims to determine dynamic stress distribution in the arterial wall subjected to physiological pressure waveforms. Finite element models of a typical artery are … …American Journal of Applied Sciences, Vol. 5, Issue 10 · 31 Oct 2008 · 7,163 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordDefect Classification of Reinforced Concrete Structures with Nondestructive Tests Using Statistical and Machine Learning MethodsSajjad Sayyar-Roudsari, Armaghan Shalbaftabar, Farshid Damirchilo et al.In this study, twelve reinforced concrete beams were constructed, each with specified dimensions and initial compressive strength. The beams were divided into four groups: A control group without any defect, a void group featuring a centrally located void, a corrosion group and a debonding group. The impact echo test was used for nondestructive testing, gathering data on compressive and shear … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 3 · 11 Jun 2024 · 5,258 accessesView PDF Cite