Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
type: Item
instance of: scholarly article
title: Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
zbMATH Open document ID: 1060.65681
author: Peter P. Valkó
author: Joseph Abate
published in: Applied Numerical Mathematics
publication date: 2005-05-04T00:00:00Z
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 2164851
zbMATH Keywords: Numerical inversion
zbMATH Keywords: Double Laplace transform
zbMATH Keywords: Fractional diffusion equation
zbMATH Keywords: numerical examples
zbMATH Keywords: algorithms
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.10.002
OpenAlex ID: W2095046234
cites work: On the Laguerre Method for Numerically Inverting Laplace Transforms
cites work: Multi-precision Laplace transform inversion
cites work: The Fourier-series method for inverting transforms of probability distributions
cites work: Solution for a fractional diffusion-wave equation defined in a bounded domain
cites work: Multidimensional transform inversion with applications to the transient \(M/G/1\) queue
cites work: An implementation of a Fourier series method for the numerical inversion of the Laplace transform
cites work: Q2770571
cites work: Q4765076
cites work: Diffusion approximations and models for certain congestion problems
cites work: Applications of numerical double Laplace transform algorithms to the solution of linear partial differential equations
cites work: Numerical inversion of 2-D Laplace transforms by fast Hartley transform computations
cites work: Numerical methods for the solution of partial differential equations of fractional order.
cites work: Inversion of the multi-dimensional Laplace transform-expansion by Laguerre series
cites work: Numerical inversion of two-dimensional Laplace transforms -- Fourier series representation
cites work: Q4233638
DOI: 10.1016/J.APNUM.2004.10.002
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description: scientific article; zbMATH DE number 2164851