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51 articles for “Partial Differential Equation”
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Research ArticleOpen accessIn the keywordsNumerical Study of Tsunami Waves with Sloping Bottom and Nonlinear FrictionAgustinus RibalIn this paper we investigate the breaking of long-waves propagating on shallow water with nonlinear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,129 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMaximum Principles for Second Order Elliptic Equations in Nondivergence Form and ApplicationsMohammad Al-MahameedThe main objectives of this study were to introduce a maximum principle for second order elliptic equations in nondivergence form and to use a nondivergence technique called the ABP method to establish the maximum principles in small domains. The advantage of this work was that we obtain a maximum principle for equations with discontinuous coefficients of the leading terms and … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 6,852 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNumerical Study on the Effect of Linear Friction of Long-Wave Propagation and Breaking with Sloping BottomAgustinus RibalIn this study, we investigate the breaking of long-waves propagating on shallow water with linear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,853 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Variational Symmetries of P.D.E's Incorporating Boundary Value ConstraintsUchechukwu Michael Opara, Festus Irimisose Arunaye et al.A crucial interface between Optimization theory, Trace theory, and Lie Symmetry theory is brought to the fore in this paper, as an enhancement of standard known results established in Partial Differential Equation (P.D.E) analysis. In particular, the incorporation of compatible Boundary Value constraints in the re-assessment of admitted variational symmetries is a key process in the development of the discussions … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 22 Jan 2025 · 8,433 accessesView PDFCite
Research ArticleOpen accessIn the abstractClassification of Transformed and Geometrically Distorted Images using Convolutional Neural NetworkSanad Aburass, Ammar Huneiti, Mohammad Belal Al-ZoubiConvolutionalNeural Network is a deep learning method that is used in many image-relatedapplications, such as image recognition and classification, it has achievedgreat performance in these fields, but it still suffers from some shortcomings.One of these shortcomings is not being able to be invariant to the input datadue to some image transformations like translation, rotation, scaling, andgeometric distortions such as skewness, … …Journal of Computer Science, Vol. 18, Issue 8 · 26 Aug 2022 · 6,138 accessesView PDFCite
Research ArticleOpen accessIn the abstractEarly Detection and Classification Approach for Plant Diseases based on MultiScale Image DecompositionAssia Ennouni, Noura Ouled Sihamman, My Abdelouahed Sabri, Abdellah AarabThis paper presents a new and powerful approach for detecting and classifying leaf diseases for plant diagnosis with high accuracy. The main contribution of this paper is that a hybrid approach is proposed by using the combination of Partial Differential Equations (PDE) based image decomposition, segmentation, feature extraction, features selection and classification aiming to improve the classification accuracy and provide … …Journal of Computer Science, Vol. 17, Issue 3 · 25 Mar 2021 · 7,205 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 abstractStochastic and Deterministic Mathematical Modeling and Simulation to Evaluate the Novel COVID-19 Pandemic Control MeasuresEva Gupta, Nand Jee Kanu, Amartya Munot et al.Background: In India, the novel Coronavirus Disease (COVID-19) epidemic has grown to 17,00000 cases and around 38,000 deaths up to 30th July, 2020. The impacts of the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) pandemic in India were studied using modified age-structured stochastic and deterministic mathematical models. Methods: A compartmental susceptible (S)-infected (symptomatic) (IS) infected (asymptomatic) (IN) recovered (R) i.e., … …American Journal of Infectious Diseases, Vol. 16, Issue 4 · 20 Nov 2020 · 8,456 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew and Efficient Features for Skin Lesion Classification based on SkeletonizationYoussef Filali, Hasnae El Khoukhi, My Abdelouahed Sabri et al.This paper presents a new approach to detect and classify skin lesions for melanoma diagnosis with high accuracy. Skin lesion detection is based on an image decomposition into two components using the Partial Differential Equation (PDE). The first component that sufficiently preserves the contour is thus exploited to have an adequate segmentation of image lesion while the second component provides … …Journal of Computer Science, Vol. 15, Issue 9 · 2 Sep 2019 · 8,028 accessesView PDFCite
Research ArticleOpen accessIn the abstractExploring Mesh Generation and Quality Enhancement with Open Source CodesLeandro Alves Neves, José Márcio Machado, Julio Cesar Momente et al.The finite element method is a very reliable and precise technique for solving partial differential equations in three-dimensional domains, with relevant applications in several areas. However, 3D simulations by FEM require computer programs for solid modeling and automatic mesh generation and there are few examples of open source codes available and dedicated to these tasks. Unfortunately, these open source codes … …Journal of Computer Science, Vol. 14, Issue 7 · 19 Jul 2018 · 8,357 accessesView PDFCite