Research ArticleOpen accessPhrase in the titleON FINITE DIFFERENCES ON A STRING PROBLEMJ. M. Mango, C. Eryenyu, S. E. RugeihyamuThis study presents an analysis of a one-Dimensional (1D) time dependent wave equation from a vibrating guitar string. We consider the transverse displacement of a plucked guitar string and the subsequent vibration motion. Guitars are known for production of great sound in form of music. An ordinary string stretched between two points and then plucked does not produce quality sound … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 22 Feb 2014 · 6,971 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Generalized Algorithm for the Gravitational Potential of a Homogeneous CuboidThunendran Periyandy, Michael BevisThis paper presents a mathematical formulation for computing the gravitational potential of a cuboid (or right rectangular prism) with uniform density. The resulting analytical expressions are valid inside, on and outside the cuboid. The methodology systematically organizes logarithmic and arctangent terms using a hexagonal graph approach, promoting numerical stability and correct sign allocation. We provide a structured pseudocode algorithm to … …Physics International, Vol. 16, Issue 1 · 28 Nov 2025 · 3,171 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,714 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGroundwater Resources Management in Various Scenarios Using Numerical ModelS. Askari Marnani, M. Chitsazan, Y. Mirzaei, B. JahandidehProblem statement: Iran is an arid country and only small percent of its water demand is met by rainfall. At present, about 55% of Iran's water being supplied by aquifers and 45% from surface water. Population growth, joint with economic development and rapid growth in industry and farming, has caused a vast increase in demand for water in Iran. But … …Current Research in Geoscience, Vol. 1, Issue 1 · 30 Jun 2010 · 13,769 accessesView PDFCite
Research ArticleOpen accessIn the abstractGait Analysis Combining Sports Biomechanics and ImagingChao ZhuAiming at the problems of marker positioning error, soft tissue interference, and insufficient personalized modeling ability in traditional gait analysis, this study proposes a gait assessment method that integrates sports biomechanics and multimodal imaging analysis. Firstly, based on the public OU-ISIR gait database, a Convolutional Neural Network (CNN) is used to extract the key gait features in the human silhouette … …American Journal of Biochemistry and Biotechnology, Vol. 22, Issue 2 · 20 Jul 2026 · 850 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment and Validation of a 2D Finite Element Model for Air Pollution Dispersion (SUITE-2D)Youssef Ismail HafezThis paper presents the development and validation of SUITE-2D (Solving Unsteady Incompressible Transport Equation in Two Dimensions), a two-dimensional finite element model for solving the advection-diffusion transport equation with decay and source terms. The model provides an efficient and accurate approach for simulating pollutant dispersion in environmental systems. The finite element formulation uses the standard Galerkin method, with numerical integration … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 22 Dec 2025 · 3,127 accessesView PDFCite
Research ArticleOpen accessIn the abstractAccelerators in Macroeconomics: Comparison of Discrete and Continuous ApproachesVasily E. Tarasov, Valentina V. TarasovaWe prove that the standard discrete-time accelerator equation cannot be considered as an exact discrete analog of the continuous-time accelerator equation. This leads to fact that the standard discrete-time macroeconomic models cannot be considered as exact discretization of the corresponding continuous-time models. As a result, the equations of the continuous and standard discrete models have different solutions and can predict … …American Journal of Economics and Business Administration, Vol. 9, Issue 3 · 10 Nov 2017 · 8,633 accessesView PDFCite
EditorialOpen accessIn the abstractThe Proton Radius PuzzleG. M. HuberOccasionally,“revolutions” are caused in physics when new measurement techniques becomeavailable and cause us to rethink what we thought we knew. This has recently happenedin the field of proton structure physics, where researchers have had to revisitfundamental assumptions used in their determinations of the proton's meanelectric charge radius. Until 2010, ourknowledge of the proton's electric charge radius came exclusively fromelectron-proton interactions. … …Physics International, Vol. 6, Issue 1 · 12 Sep 2015 · 8,321 accessesView PDFCite
Research ArticleOpen accessIn the abstractTime-Dependent Behavior of Piles under Combined LoadingsMohd Raihan Taha, Qassun S. Mohammed Shafiqu, Zamri H. Chik, Jasim M. AbbasThis study investigates time-dependent lateral response of piles in elastoplastic soils under combined axial and lateral loadings. Mohr Coulomb model representing the soil and the finite element formulation were described and verified. The transient analysis of pile problem was then carried out and the results of the analysis were presented which demonstrate the effects of the consolidation process on the … …American Journal of Applied Sciences, Vol. 6, Issue 3 · 31 Mar 2009 · 7,060 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Evaluation of the Groundwater Influence on the Stress and Strain Behavior around a Tunnel by Analytical MethodsPierpaolo OresteThe presence of an aquifer in the soil causes a change in a relevant way of the stability conditions of a tunnel. The flow of water in the pores, in fact, modifies the stress and strain state of the soil and causes an increase in the thickness of the plastic zone. As a result the loads transmitted on the lining … …American Journal of Applied Sciences, Vol. 12, Issue 10 · 30 Oct 2015 · 6,459 accessesView PDFCite