exact/closed-form solutions
Construction of Exact Parametric or Closed Form Solutions of Some Unsolvable Classes of Nonlinear ODEs (Abel's Nonlinear ODEs of the First Kind and Relative Degenerate Equations)
... the exact parametric or closed form solutions of the classes of Abel’s nonlinear differential equations ODEs of the first ...These solutions are given implicitly in terms of Bessel ...
14
Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs
... general form of the exact solution of a nonlinear ODE of the second order due to ...general exact closed form solution of this equation, valid for specific values of the parameters ...
25
Accurate Approximations for the Capacity Distribution of OFDM Based Spatial Multiplexing
... the exact two/three antenna results in [11, 12], outage capacity analysis has typically involved approximating the distribution of the mutual information, since exact closed-form ...
6
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
Asymptotics of rare events in birth–death processes bypassing the exact solutions
... here, exact closed-form solutions for the mean first passage time between any two states are available and the near-continuum expansion of these formulae defines the correct limiting behaviour ...
12
On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type
... of exact closed-form solutions for certain nonlinear oscillators with cubic and quadratic nonlinearity that are expressed in terms of Jacobi elliptic functions and depend on the system ...
25
Similarity reduction and closed form solutions for a model derived from two layer fluids
... In this paper, we study an integrable system of coupled KdV equations, derived by Gear and Grimshaw (Stud. Appl. Math. 70(3):235-258, 1984), modeling the strong interaction of two-dimensional, long, internal gravity ...
9
Closed Form Solutions for Nonuniform Transmission Lines
... analytic closed form solutions were introduced for arbitrary Nonuniform Transmission Lines ...proposed solutions was verified using some comprehensive ...three solutions give ...
16
Generalized Beltrami flows and other closed form solutions of an unsteady viscoelastic fluid
... Exact solutions of the Navier-Stokes equations are rare since these are nonlinear par- tial differential ...equations. Exact solutions are very important not only because they are ...
12
Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model
... the solutions can be very accurate. However, such solutions are never exact, and they are normally given in the form of large data sets, which makes it difficult to analyse ...an exact ...
11
On closed form solutions of some nonlinear partial differential equations
... simple exact solutions of (1.1) with δ = 0 via quasisolutions of the form Φ(F(x) ...simple exact solutions for many nonlinear partial differential equations are always important, because ...
8
Graphical Lasso and Thresholding: Equivalence and Closed-form Solutions
... simple closed-form solution that can be easily derived merely based on the thresholded sample covariance matrix, provided that its underlying graph has an acyclic ...This closed-form solution ...
44
Exact Electromagnetic Field Excited by a Vertical Magnetic Dipole on the Surface of a Lossy Half-Space
... particular, closed-form solutions in the frequency-domain have been derived under the quasi-static field assumption [4, 6], that is neglecting the high-frequency effects due to the displacement ...
14
THE SPECIAL TRANS FUNCTIONS THEORY FOR THE DEGREE OF NUCLEAR FUEL BURN-UP ESTIMATION
... obtaining 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 ...
6
Closed-Form Elasticity Solutions to Uniform Rotating Discs Made of A Radially Functionally Graded Material
... the exact elastic response of a rotating disk made of a nonhomogeneous material is studied under four real physical boundary conditions and analytical formulas are presented in compact ...get ...
12
Exact Closed-Form Solution for Vibration Analysis of Beams Carrying Lumped Masses with Rotary Inertias
... an exact closed-form solution is presented for free vibration analysis of Bernoulli–Euler beams carrying attached masses with rotary ...fundamental solutions which are made of the appropriate ...
18
Closed Form Wave Solutions to the Nonlinear Partial Differential Equations via the Rational Expansion Method
... the closed form traveling wave solutions of nonlinear partial differential equations such as the compound KdV-Burgers equation and the compound KdV equation by the rational ( G / G ) -expansion ...
9
Numerical Solution to Boundary Layer Problems over Moving Flat Plate in Non Newtonian Media
... the solutions to the boundary layer problem of a power-law non-Newtonian fluid along an impermeable sheet moving with a constant velocity in an otherwise quiescent fluid ...an exact solution in ...
6
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
... general closed form solitons to time fractional two dimensional and three dimensional Schrodinger equations by means of the efficient technique known as modified simple equation (MSE) ...The ...
13
Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method
... of solutions of the nonlinear boundary value problems is difficult ...have exact closed–form solution and discovers existence of dual or triple solutions in some cases using a new ...
11