Displaying similar documents to “Inversion of the Laplace transform from the real axis using an adaptive iterative method.”

Laguerre polynomials in the inversion of Mellin transform

George J. Tsamasphyros, Pericles S. Theocaris (1981)

Aplikace matematiky

Similarity:

In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function g ( r ) is represented as an expansion of Laguerre polynomials with respect to the variable t = l n r . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion....

Symbolic Solving of Partial Differential Equation Systems and Compatibility Conditions

Malaschonok, Natasha (2013)

Serdica Journal of Computing

Similarity:

An algorithm is produced for the symbolic solving of systems of partial differential equations by means of multivariate Laplace–Carson transform. A system of K equations with M as the greatest order of partial derivatives and right-hand parts of a special type is considered. Initial conditions are input. As a result of a Laplace–Carson transform of the system according to initial condition we obtain an algebraic system of equations. A method to obtain compatibility conditions is discussed. ...