This paper provides a general solution to the n-order variable coefficients linear differential equation by turning it into constants coefficients linear differential equation through variable transformation.
In the similar frame of the code FELEX without degradiug calculation precision and by applying direct inversion of matrix, transformation of variables and other methods, a goal to redue 1-2 orders of computer CPU time is reached, the code running in PC 386/25 is established.
To solve the problem in dispute about a Schrdinger equation with time-depenelent mass and frequency, by means of a simple transformation of variables, the time-dependent Schrdinger equation is transformed into the time-independent one first and then an exact wave function can be found.
A multi functional 2×2 multimode interference optical switch based on the deep etched GaAs/GaAlAs optical rib waveguide with spot size converter is proposed and analyzed by using the variable transformed series expansion method and three dimensional finite difference beam propagation method.
A novel three-dimensional semi-vectorial beam propagation method based on the variable transformed galerkin method(3D-VTGM-SBPM) is proposed for directly modeling optical waveguides, and is successfully applied to simulate parallel directional coupler.
From Maxwell equations, the semi-vectorial models for analysis of the eigenvalue for optical rectangular waveguide, rib waveguide and coupled waveguide based on the Variable Transformed Galerkin Method (VTGM) has been presented and established. The distributions of electric field for eigen-mode and the effective index have been obtained.
In this paper using variable transformations and deriding the solution into "top solution" and "bottom solution" naturally, We can find the exact solution of plane Couette flow of power law fluids with viscosity depending on temperature.
It is assumed that the angles between the crest lines and the shore lines are variable in the problem of the littoral sand transport. A nonlinear partial differential equation is derived and the equation is reduced to a nonlinear ordinary differential equation using variable transformations.
In this paper, we first give the qualitative analyses of the progressive waves of the Fisher's equation with nonlinear term, diffusive term and reaction term on its Poincare's phase plane. And then find one class of the analytical solutions of the Fisher equation by using variable transformations and analitical integration.
We introduce a transformation of variables that gives a number of important advantages in the numerical solution of the problem under consideration.
A transformation of variables that reduces the system of boundary-layer equations to a form suitable for analysis and solution is derived.
We exhibit a transformation of variables which allows the simultaneous factorization of a multiparticle Veneziano term and its twisted counterpart (obtained by reversing the order of the intial or final particles).
For this reason, the procedure is modified by using a suitable transformation of variables which reduces the determination of the transmitted wave to the solution of the K.d.V.
A multiple scale transformation of variables is used, here, to get rid of these secular terms.