closed-form exact solution
Buckling and Post-buckling Analysis of FG-CNTRC Beams: An Exact Closed Form Solution
... and exact closed form solutions for buckling buckling loads of functionally graded carbon nanotube-reinforced composite CNTRC) beam with different boundary conditions are ...
9
Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs
... a form included in the group of 50 equations mentioned ...analytical solution for this specific equation, and in Section 4 we develop a general analytical technique applicable to another nonlinear ODE ...
25
Closed form solution of a general three term recurrence relation
... the exact solution in a compact finite form using a recursive ...the solution to the non-recursive expression of n, including a finite number of elementary operations and ...
12
Closed-form solution for peak crushing force of the S-rails
... Equations 25 and 26 will be called as load line equations in the following sections. Related Load lines to each section could be depicted in the similar surface of m-n diagram. When one load line cross each case diagram ...
11
A Closed Form Analytic Solution for Coupled Nonuniform Transmission Lines
... A closed form analytic solution was introduced for arbitrary Coupled Nonuniform Transmission Lines ...introduced solution was studied using a comprehensive ...introduced solution gives ...
9
Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
... have exact closed–form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo–spectral collocation in the sense of least square ...
11
Dressing a black hole with non-minimally coupled scalar field hair
... an exact, closed form, solution of the field equations with a zero self-interaction potential, known as the BBMB black hole ...flat, solution of the Einstein-conformal scalar field ...
19
THE SPECIAL TRANS FUNCTIONS THEORY FOR THE DEGREE OF NUCLEAR FUEL BURN-UP ESTIMATION
... an exact analytical closed form solution to the degree of the nuclear fuel burn-up simple transcendental equation is studied in some detail, by using the Special trans functions theory ...
6
Approximate closed-form solution for solar sail spiral trajectories with sail degradation
... In order to minimize the time required to reach a given orbit radius, an optimum choice of fixed sail pitch angle needs to be made. For example, using Eq. (21), the time interval required to spiral from 𝜉 = 1 to 𝜉 = 1.25 ...
18
Exact Closed-Form Solution for Vibration Analysis of Beams Carrying Lumped Masses with Rotary Inertias
... the solution for a determinant of order two or four for any number of lumped ...an exact closed- form solution is presented for vibration analysis of beams carrying attached masses with ...
18
Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model
... Equation (1) is an ordinary nonlinear differential equation of the second order (considering that velocity is a first-order derivation of distance). Solving Equation (1) means finding velocity and travelled distance as ...
11
Numerical Solution to Boundary Layer Problems over Moving Flat Plate in Non Newtonian Media
... an exact solution in closed form, numerical solutions for the velocity distribution in the boundary layer for different power exponents will be presented, and the de- pendence of the skin ...
6
An improved closed-form solution for the constrained minimization of the root of a quadratic functional
... a solution that improves on the current published solution by being considerably simpler in computational ...Our solution method employs the Lagrangian multiplier method and we give two proofs, one ...
18
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) ...
24
On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
... then used this fact to arrive at the conclusion that the asymptotic exponen- tial growth rate of Fibonacci function with period k indeed converges to the well-known golden ratio φ. As a remark, we have also asserted that ...
13
Closed-form solution of a thermocapillary free-film problem due to Pukhnachev
... a closed-form (parametric) solution of the two-dimensional problem defined by ...unique solution for any value of b. We present our solution in Section 2, and from this we show that, on ...
20
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] ...
6
On the Dynamic Response of an Ocean to Wind Stress in an Equatorial Region-II: Further Exact Solutions of the Rossby Equation
... some exact and explicit solutions for the standard Rossby form of the equation for the stream function for some specified and realistic wind ...similar exact and explicit ...
9
The relationship between conditional value at risk and option prices with a closed-form solution
... In this paper we derived a simple, closed form and analytic relationship between CVaR and European options. We discussed the significance of the equation and relationship, in particular with respect to ...
36
The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)
... Zhou [2] was the first one to use the differential transform method (DTM) in engi- neering applications. He employed DTM in solution of initial boundary value problems in electric circuit analysis. In recent years ...
9