closed-form analytical solution
Closed-form analytical solution procedure for element design in D regions
... explicit closed-form relations without the need to incrementally increase the applied ...The solution procedure is based on a secant modulus approach and is developed initially on the basis that the ...
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Approximate closed-form solution for solar sail spiral trajectories with sail degradation
... approximate closed-form analytical solution found, assuming a quasi-circular spiral with a fixed sail pitch ...The solution found provides the time evolution of the solar sail orbit ...
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A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic Field Expressions and the Emergence of the Surface Waves
... with closed-form analytical solution in the high frequency regime,”, International Journal Antennas and Propagation (IJAP), Hindawi ...
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Closed-Form Analytical Equations to Transient Analysis of Bang-Bang Phase-Locked Loops
... the oscillatory transient and after the locking point, the final value does not change, (see Fig.4). So we consider a damping oscillatory waveform as (13) to model the output excess phase. Equation (13) is the key ...
7
Closed Form Solution for Heston PDE By Geometrical Transformations
... alternative solution writeable in closed form of the Heston’s PDE, for which the solution is known in literature, up to an inverse Fourier ...an analytical formula to compute the prices ...
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Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model
... partially analytical derivations of corresponding equations of motion, which, according to them, is useful for studying how input parameters influence the ...
11
An improved closed-form solution for the constrained minimization of the root of a quadratic functional
... The work in this paper can be extended in several directions in future. The optimization problem was set out in a generic way, but applications in specific problems can yield further problems of interest. For example, ...
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Closed form solution for p-curves in SO(4)
... a closed form solution to the fully assessable and controllable 6 dimensional ...final solution was checked against the original problem ...the analytical solution can be ...
7
Closed form solution of a general three term recurrence relation
... First, the recurrence relation Eq. () corresponds to the finite difference equation for the general second order differential equation with unknown function f (x) and arbitrary given U(x), namely: f – U(x) · f = . ...
12
Closed-form solution for peak crushing force of the S-rails
... the analytical solution of crushing resistance of thin- walled S-shape frames with rectangular cross-section and compared the results with those of numerical ...experimental, analytical and numerical ...
11
THE SPECIAL TRANS FUNCTIONS THEORY FOR THE DEGREE OF NUCLEAR FUEL BURN-UP ESTIMATION
... exact analytical closed-form ...the closed-form solution genesis in: the theory of neutron slowing down [[6],[7],[16]], the nonlinear circuit theory [[8],[16],[22]], the linear ...
6
Development of Closed-Form Solution for a Multi-Layered Composite Stack Subjected to Thermal Loads
... A number of scholars have proposed research models for multi-layered composite stack, including experimental and theoretical models. Experimental modeling is a rational approach, but its application entails considerable ...
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Two-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
... models, analytical models or both. Numerical and analytical solutions have its own limitation although these solutions are very much relevant for predicting contaminant concentration ...behaviour. ...
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A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... exact solution is so hard or ...the analytical solution for differential equation there exist different ...the solution in closed form using familiar analytical methods, ...
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A closed form solution to Stollery's global warming problem with temperature in utility
... the closed form so- lutions, considering the case with temperature a¤ecting only production for the extended Dasgupta-Heal-Solow-Stiglitz (DHSS) model (Dasgupta and Heal, 1974; Solow, 1974; Stiglitz, 1974) ...
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Closed-form solution of a thermocapillary free-film problem due to Pukhnachev
... a closed-form (parametric) solution of the steady two-dimensional thin- film version of a problem concerning a weightless non-isothermal free film of incompressible viscous fluid subject to ...
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An improved closed-form solution for the constrained minimization of the root of a quadratic functional
... Permanent repository link: http://openaccess.city.ac.uk/14494/ Link to published version: http://dx.doi.org/10.1016/j.cam.2012.04.014 Copyright and reuse: City Research Online aims to ma[r] ...
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On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
... Now we turn on the organization of the rest of the paper. In the next sec- tion (Section 2), we present a theoretical approach in deriving the closed-form solution of the nonlinear difference ...
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The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)
... the closed form solution of the (n+1) dimensional Equal Width Wave ...the solution is calculated in the form of the convergent Power series with easily computable ...
9
Plane Strain Deformation of an Elastic Half-Space Due to a Rectangular Thermal Inclusion
... work, closed form analytical solutions for the displacement and strain fields due to a rectangular thermal inclusion in the interior of an isotropic elastic half-space are ...The analytical ...
8