17 results for “Lagrange Equation”

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Research ArticleOpen accessIn the abstractDiscovery of an Equilibrium Circle in the Circular Restricted Three Body ProblemFawzy A. Abd El-SalamProblem statement: A traial to find equilibrium points in out of plane of the restricted three body problem. Approach: Solution of the equations of motion at equilibrium points. Linearizing the equations of motion and computing the eigen values to investigate the stability. Results: New triangular equilibrium points in plane perpendicular to the plane of motion and passing through Lagrange triangular … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 16 Jul 2012 · 7,362 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSolving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton MethodZanariah Abdul Majid, Phang Pei See, Mohamed SuleimanProblem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches involving BVPs will reduced the problem to a system of first order Ordinary Differential Equations (ODEs). This approach is very well established but it obviously will enlarge the systems of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,882 accessesView PDF Cite

Research ArticleOpen accessIn the abstractCombined Partial Oxidation and Carbon Dioxide Reforming Process: A Thermodynamic StudySompop JarungthammachoteProblem statement: CO2 reforming is one of the methods to utilize a greenhouse gas to produce syngas, an important feed for methanol and Fischer-Tropsch synthesis. However, CO2 reforming is strong endothermic reaction requiring large amount of supplied energy. Partial oxidation, an exothermic reaction, is combined with CO2 reforming to serve the energy requirement. Thus, the optimum ranges of O2 and … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,527 accessesView PDF Cite

Research ArticleOpen accessIn the abstractVariational 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 · 7,254 accessesView PDF Cite

Research ArticleOpen accessIn the abstractInvestment, Taxes and the Cost of Capital: An Euler Equation Specification TestHuntley SchallerProblem statement: Previous studies (primarily employing goodness-of-fit tests) have found it difficult to provide clear and direct evidence that taxes and the interest rate have a strong influence on investment. Approach: The objective of this study was to test whether the cost of capital, which includes taxes and the interest rate, affects investment. This study used the Euler equation for … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 7,616 accessesView PDF Cite

Research ArticleOpen accessIn the abstractQuantum Mechanical Calculation of the Optical Absorption of Silver and Gold Nanoparticles by Density Functional TheoryElham Gharibshahi, Elias SaionProblem statement: Metal nanoparticles confine the motion of conduction electrons and exhibit a strong optical absorption of electromagnetic radiation in the UV-vis-NIR region. The absorption is classically derived from the collective oscillations of free electrons in a metallic nanostructure as a consequence of incident electromagnetic radiation polarizing the particle optically embedded in a dielectric matrix. These oscillations, known as the … …Physics International, Vol. 1, Issue 1 · 31 Mar 2010 · 16,181 accessesView PDF Cite

Research ArticleOpen accessIn the abstractDesign and Implementation of an Adaptive Control for a RobotIraj Hassanzadeh, Abbas Harifi, Farid ArvaniThis research investigates the performance of an adaptive controller for five-bar linkage robot. The proposed controller was entirely independent on the physical specifications of the robot. The controller was examined as the dynamics of the mechanical system varies for various environment conditions, which make it an ambiguous system. In this study, the introduced controller was designed based on the governing … …American Journal of Applied Sciences, Vol. 4, Issue 2 · 28 Feb 2007 · 6,645 accessesView PDF Cite