Laplace transforms, Ordinary differential equation (ODE), MATLAB Abstract Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very sim...
In recent years, the interest in using Laplace transforms as a useful method to solve certain types of differential equations and integral equations has grown significantly. In addition, the applications of Laplace transform are closely related to some important parts of pure mathematics...
Therefore, we describe in this paper the application of the Laplace transform technique in matrix formulation to analytically solve initial value problems that mathematically model radioactive decay series. Given the initial amount of each type of radioactive isotopes in the decay series, the computer...
A Laplace Transform (LT) method is used to improve the results obtained in a quasi-elastic scattering (QELS) experiment. This is designed to determine the characteristic parameters of a bimodal solution of spherical and rod-like macromolecules. The theoretical study and the experimental simulation ...
Application of Laplace transform technique to the solution of certain third-order non-linear systemsApplication, Theoretical or Mathematical/ classical mechanics of discrete systemsLaplace transformsnonlinear systems/ Laplace transformapproximate methodaccuracy...
Laplace TransformThis paper provides a reformulation of Phillips's multiplier-accelerator model with stabilization policy in terms of the Laplace transform. Applying the Laplace transform, the differential equations of the economy are transformed into the algebraic ones on a complex variable. The transfer...
The Laplace Transform Galerkin technique has been shown to be robust and efficient for numerical simulation of transport through porous media. In this paper, we look at the application of this technique to a heterogeneous porous media, which can be represented by a scale-dependent dispersion ...
11.1 The Laplace Transform 11.2 Applications of Laplace Transform Chapter11 The Laplace Transform 拉普拉斯变换. 3.1. Introduction Step to analyze AC Circuits: 1.Transform the circuit to the phasor or frequency domain. 2.Solve the problem using circuit techniques. ...
Regularization of Numerical Inversion of the Laplace Transform for the Inverse Analysis of Impact Force This paper is concerned with the inverse problem of impact force, which is to estimate the impact forces acting on bodies from the measurement of their imp... I Hirotsugu,K Kikuo,S Toshikazu...
to the theory of nonstationary flows of a viscoplastic mediumWe show that with the application of a Laplace-Carson integral transform the problem concerning the development of a gradient flow of a viscoplastic medium between parallel walls reduces to the solution of a system of functional equations...