Research ArticleOpen accessIn the keywordsNumerical Solution of Linear Integro-Differential EquationsHusein Jaradat, Omar Alsayyed, S. Al-SharaProblem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,093 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSolving Volterra's Population Model Using New Second Derivative Multistep MethodsK. Parand, G. HojjatiIn this study new second derivative multistep methods (denoted SDMM) are used to solve Volterra's model for population growth of a species within a closed system. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. This model is first converted to a nonlinear ordinary differential equation and then the new SDMM, which has good … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 6,908 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Approach to Solve Nonlinear Partial Differential EquationsAbdoul R. Ghotbi, M. A. Mohammadzade, A. Avaei, M. KeyvanipoorNonlinear phenomena play a crucial role in applied mathematics and physics. Explicit solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining explicit solution to nonlinear evolution equations have been proposed. In this letter homotopy perturbation method (HPM) is employed for solving one-dimensional non-homogeneous parabolic partial differential equation with a variable coefficient and a system of nonlinear … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,916 accessesView PDFCite
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 keywordsDynamics Modelling of a Plate Vibrating in a Perfect FluidBouarroudj Nadra, Belaib LekhmissiWe deal with the interaction problem of a plate vibrating within a perfect fluid. We establish the equations describing the dynamics behaviour of the plate using the general equations of the elasto-dynamic. The fluid flow described by the equation of Euler’s low amplitude. We presented results of the existence, the unicity and the regularity of the problem verified by the … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,896 accessesView PDFCite
Research ArticleOpen accessIn the abstractPersonalized Recommendation System: Web of Things Using Modular Density-Based Community DiscoveryVinod Patidar, Jayashree A. Patil, Sonika Thapak et al.Community discovery is the cornerstone and core of study in customized recommendation, assembling group features and social network analysis on the web of things. Conventional community discovery methods, however, struggle with difficulties including low accuracy, delayed convergence, modularity resolution limits and more when dealing with more complicated social networks. Because of this, differential evolution and module density are included in … …Journal of Computer Science, Vol. 20, Issue 9 · 21 Jun 2024 · 5,628 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Study of the Dynamics of a Cebâşev ManipulatorRelly Victoria Virgil PetrescuThe paper presents a new method for determining the dynamic parameters of a Cebâşev conveyor mechanism, solvable in two steps. In the first step, the classic method of preserving the kinetic energy of the entire mechanism is used to determine the rotating mass of the Cebâşev mechanism denoted by J*, this being the dynamic rotating mass of the entire mechanism … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 28 Nov 2022 · 5,663 accessesView PDFCite
Research ArticleOpen accessIn the abstractEchocardiographic Pulmonary to Left Atrial Ratio in Dogs (ePLAR): A Differential Marker of Pre- and Postcapillary Pulmonary HypertensionDmitrij Oleynikov, Ma YiPulmonary Hypertension (PH) in dogs is a complicated syndrome that could be primary, due to idiopathic or genetic causes, or secondary due to pulmonary disease, pulmonary thromboembolism, heartworm disease, heart failure. Due to the inability of the routine use of right heart catheterization in veterinary patients, there is a lack of differential criteria between PH forms. This study was performed … …American Journal of Animal and Veterinary Sciences, Vol. 17, Issue 1 · 17 Feb 2022 · 6,791 accessesView PDFCite