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56 articles for “Differential Conditions”
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Research ArticleOpen accessPhrase in the titleAnalytical Solutions of Riccati Fractional Equation with Coefficients Satisfying Differential Conditions with Arbitrary FunctionKhaled K. JaberNew exact solutions of the Fractional Riccati Differential equation are presented. Exact solutions are obtained in cases that the coefficient functions and an arbitrary function satisfy some differential conditions. In view of the conditions imposed on Riccati equation's coefficients we define and formulate the coefficients of the Riccati equation to obtain the differential cases, for each case the general solution … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 27 Dec 2017 · 7,211 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary ConditionsS. M. Al-HarbiProblem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 6,826 accessesView PDFCite
Research ArticleOpen accessIn the keywordsExplicit Direct Integrators of RK Type for Solving Special Fifth-Order Ordinary Differential EquationsMohammed S. Mechee, Murtaza A. KadhimThe main contribution of this paper is the development of direct explicit methods of Runge-Kutta (RK) type for solving special fifth-Order Ordinary Differential Equations (ODEs). For this purpose, we have generalized RKD and RKT methods of special third and fourth-order ODEs. Using Taylor expansion, we have derived the algebraic equations of algebraic equations of order conditions for the proposed RKM … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 26 Dec 2016 · 7,940 accessesView PDFCite
Research ArticleOpen accessIn the abstractRK4 Differential Equation to improve QoS in an eUTRAN LTE Network: A Deterministic vs. Stochastic ApproachBrou Pacôme, Pandry Ghislain, Bodjré Aka Hugues Félix, Oumtanaga SouleymaneImproving Quality of Service (QoS) in an eUTRAN LTE network is essential to guarantee optimal performance in the face of dynamic variations in user traffic and radio channel interference. In this context, this paper explores the use of 4th-order Runge-Kutta differential equations (RK4) to model and optimize radio resource management, by comparing a deterministic approach, which assumes stable and predictable … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 3 Jul 2025 · 5,877 accessesView PDFCite
Research ArticleOpen accessIn the abstractDifferential Response of Chitosan-Pretreated Rice Cultivars at the Seedling Stage to Drought Stress on Growth and Leaf MetabolitesWasinee Pongprayoon, Sataporn Deeying, Sakchai Hongthong et al.The escalating prevalence of drought stress presents a significant obstacle to global rice cultivation, particularly in arid regions affected by climate change-induced water scarcity. Despite extensive research on the efficacy of exogenously applied chitosan in enhancing drought tolerance across various crops, there remains a gap in understanding the differential responses of chitosan-treated rice seedlings among different cultivars and different chitosan … …OnLine Journal of Biological Sciences, Vol. 25, Issue 1 · 20 Dec 2024 · 5,246 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Study of Static Instability of Pipe Conveying Incompressible Fluid under Different Boundary ConditionsDahmane Mouloud, Zahaf Samir, Sid Ahmed Slimane et al.In this article, the influences of uniform velocity profile, mass ratio, length and Winkler elastic foundation on the static instability of pipe conveying incompressible fluid are investigated. The Euler-Bernoulli beam theory is employed to derive partial differential equation of pipes carrying fluid. The results were carried out using ANSYS Workbench program, where the analysis is based on the numerical solution; … …American Journal of Engineering and Applied Sciences, Vol. 13, Issue 4 · 26 Nov 2020 · 6,577 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Regularity of the Solutions to the Cauchy Problem for the Quasilinear Second-Order Parabolic Partial Differential EquationsMykola YaremenkoThis article is dedicated to expanding our comprehension of the regularity of the solutions to the Cauchy problem for the quasilinear second-order parabolic partial differential equations under fair general conditions on the nonlinear perturbations. In this paper have been obtained that the sequence of the weak solutions uz ∈ V1,02, z = 1,2,..... to the Cauchy problems for the Equations … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 2 Jun 2020 · 7,282 accessesView PDFCite
Case ReportOpen accessIn the abstractRound Pneumonia in Adults Masquerading as Bronchogenic CarcinomaChandan Kumar, Abhishek, Pal Satyajit Singh Athwal et al.Round pneumonia or coin pneumonia is a rare variant in adults, although it is very common in the pediatric age group patients. It can mimic as a pulmonary mass on imaging, which can lead to broad differential diagnosis or misguidance toward the conditions like bronchogenic carcinoma or other benign conditions which can lead to unnecessary diagnostic work up like computerized … …American Journal of Infectious Diseases, Vol. 14, Issue 4 · 7 Jan 2019 · 8,322 accessesView PDFCite
Research ArticleOpen accessIn the abstractParasite Fauna and Infection of Sheep with ParasitosisAssylbek Abdrashitovich Zhanabayev, Birzhan Yeleubaevich Nurgaliev, Abzal Kenesovich Kereyev et al.The purpose of our research was to study the parasitic fauna and infection of sheep with parasites in the northern and southern regions of the Republic of Kazakhstan. For this, we conducted a study to determine the species diversity of sheep parasites. The study was set from 2010-2020 years on infected sheep in the northern and southern parts of the … …OnLine Journal of Biological Sciences, Vol. 22, Issue 4 · 6 Oct 2022 · 6,548 accessesView PDFCite