analytical solutions
Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation
... desired analytical solutions is a modified version of one which has been implemented in some softwares for the same purpose ...the solutions of the ODE in consideration in the form of a polynomial in ...
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Exact Analytical Solutions in Three-Body Problems and Model of Neutrino Generator
... analytic solutions are obtained in three-body problem for the scattering of light particle on the subsystem of two fixed centers in the case when pair potentials have a separable ...form. Solutions show an ...
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Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
... In this paper, the approximate analytical solutions of the fractional coupled mKdV equation are obtained by homotopy analysis method (HAM). The method includes an auxiliary parameter which provides a ...
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International frictions and optimal monetary policy cooperation: analytical solutions
... by Faia and Monacelli [2004] under PCP, perfect risk sharing and inefficient steady state. As such, the optimal allocation could be easily derived in our set-up without the restrictive as- sumptions needed to obtain ...
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Analytical Solutions of a Symmetrical Dynamic Crack Model of Bridging Fibers in Unidirectional Composites
... consequently analytical solutions of stresses, displacements and dynamic stress intensity factors will be readily worked ...Analytic solutions of the symmetrical dynamic crack ...
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Weak pressure gradient approximation and its analytical solutions
... using analytical solutions to linearized Boussinesq ...two analytical solutions to these 3D equations: a transient solution in which a buoyancy anomaly is carried out of a column by gravity ...
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Approximate Analytical Solutions for the Nonlinear Brinkman Forchheimer Extended Darcy Flow Model
... approximate analytical solutions presented in this work, though it is simple, it gives good and accurate re- sults, and hence it can be efficiently used to solve this class of nonlinear differential ...
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Manufactured analytical solutions for isothermal full-Stokes ice sheet models
... ufactured analytical solution to time-dependent and steady- state isothermal full-Stokes ice sheet ...formulas, analytical solutions for different geometries can be ...
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Analytical Solutions of SIRS SI Malaria Disease Model Using HPM
... approximate analytical solution of the simultaneous non linear ordinary differential equations arise in this ...These analytical solutions represent a significant simplification of the system’s ...
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Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries
... to the continuity equation with special spherically symmetric initial data and given sym- metric sphere separating the initial fluids from vacuum, and we derive that a(t), f (z) ∈ C are two functions satisfying some ...
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Analytical solutions of magnetohydrodynamic newtonian and second grade fluids in a porous medium
... exact analytical solutions are exist in ...Navier-Stokes' solutions can be obtained for other engineering applications, which also yield considerable physical ...
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Feedback Control for a Diffusive Delay Logistic Equation: Semi-analytical Solutions
... Abstract—Semi-analytical solutions are considered for a delay logistic equation with non-smooth feedback control, in a one dimensional reaction-diffusion ...stable solutions and limit cycles are ...
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Analytical Solutions for Spatially Variable Transport-Dispersion of Non-Conservative Pollutants
... acquire analytical solutions for time- dependent and variable diffusion coefficients (Basha and El-Habel [8]; Philip [9]; Zoppou and Knight [10-11]; Pérez and Skaggs ...Such solutions have been ...
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New Analytical Solutions for Quark Stars with Charged Anisotropic Matter
... exact solutions for the Einstein-Maxwell system within the framework of MIT Bag Model with a particular form for the measure of ...of analytical solutions specifying the form of the gravitational ...
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Analytical solutions of incomplete elliptic integrals motivated by the work of Ramanujan
... in theorems (3.1) to (3.12), using some algebraic properties of Pochhammer symbol and interpreting the mul- tiple power series in hypergeometric forms of Gauss [34, p. 42(1)], Kamp´e de F´eriet [34, p.63(16); see also ...
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Analytical solutions for semiconductor luminescence including Coulomb correlations with applications to dilute bismides
... propose analytical solutions for the Photon Green's functions approach [10-12], delivering a microscopic, fully quantum mechanical ...deliver analytical solutions of the Dyson equations for ...
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Analytical solutions for the natural frequencies of rectangular symmetric angle-ply laminated plates
... Analytical solutions, based on the Ritz method, are derived for the lowest natural frequency of rectangular symmetric angle-ply laminated ...the solutions are approx- imate. The accuracy of these ...
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Analytical Solutions of the 1D Dirac Equation Using the Tridiagonal Representation Approach
... find analytical solutions to a certain class of solvable po- tentials for the 1D Dirac ...our analytical results, we have mentioned in Section 3 that some of our results can be used di- rectly in ...
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Evaporation driven vapour micro flows : analytical solutions from moment methods
... fundamental solutions (Green’s functions) were derived for the linearised R13 equations by Claydon et ...fundamental solutions, generalised to account for phase-change phenomena, should allow for ...
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Approximate Analytical Solutions of Fuzzy Linear Fredholm Integral Equations by HAM
... Seikkala in [8] has defined the fuzzy derivative which is the generalization of the Hukuhara derivative in [7], the fuzzy integral which is the same as that of Dubois and prade [1], and b[r] ...
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