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122 results for “differential equations”
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Research ArticleOpen accessIn the keywordsVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,261 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Existence, Uniqueness and Error Bounds of Approximation Splines Interpolation for Solving Second-Order Initial Value ProblemsAbbas Y. Al Bayati, Rostam K. Saeed, Faraidun K. Hama-SalhProblem statement: The lacunary interpolation problem, which we had investigated in this study, consisted in finding the six degree spline S(x) of deficiency four, interpolating data given on the function value and third and fifth order in the interval [0,1]. Also, an extra initial condition was prescribed on the first derivative. Other purpose of this construction was to solve the … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 8,176 accessesView PDFCite
Research ArticleOpen accessIn the keywordsElectric Voltage Control as an Implementation of Neural Network ApplicationsA. A. Al-Rababah, U. A.Al-RababahPresent study was proposed the monitoring of mathematical model of electric voltage source with using neural network for application in control systems as sensor and command signal. The monitoring system, consist of toroidal choke or transformer with high saturated ferromagnetic cores. The input information we receive from current periodic curves. The current was distributed into Fourier or walsh series. The … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 6,297 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFlow of Temperature-dependent Viscous Fluid Between Parallel Heated Walls: Exact Analytical Solutions in the Presence of Viscous DissipationK. S. Adegbie, F. I. AlaoWe examine steady incompressible flow of viscous liquids between parallel heated walls of plane Couette device. The temperature of the upper and lower walls of the device are maintained at T = Tb and T = T0 respectively. Of a particular interest are exact analytical solutions of the coupled non-linear differential equations resulting from plane Couette flow obtained for the … …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,483 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNEW APPROACH TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONSaveetha Natesan, Nirmala Venkatachalem, S. Chenthur PandianThis study presents solution for the first order hybrid fuzzy differential equation by Runge-Kutta method of order two with new parameters and Harmonic mean of ki’s which are used in the main formula in order to increase the order of accuracy of the solution. This method is discussed in detail followed by a complete error analysis. The accuracy and efficiency … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 1 Jul 2013 · 6,491 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 · 7,134 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 · 6,859 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 · 6,856 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 · 6,900 accessesView PDFCite