An automatic algorithm evaluating numerically an abscissa of convergence of the inverse Laplace transform is introduced.

In this paper, we consider the numerical inverse Laplace transform for distributed order time-fractional equations, where a discontinuous Galerkin scheme is used to discretize problem in space. The success of Talbot’s approach computation depends critically on problem’s spectral properties and present method numerically enclose spectrum compute resolvent estimates independent size. new results ...

Statistical inference based on the Weibull distribution, a distribution widely used in reliability and survival analysis, is usually difficult as it often involves numerical computation and approximation. However, this distribution can be transformed to near-normality by a simple power transformation. Based on this transformation, a prediction interval (PI) for its median can be easily construc...

Inverting the Laplace transform is a paradigm for exponentially ill-posed problems. For a class of operators, including the Laplace transform, we give forward and inverse formulae that have fast implementations using the fast Fourier transform. These formulae lead easily to regularized inverses whose effects on noise and filtered data can be precisely described. Our results give cogent reasons ...

This paper proposes a lossless compression scheme for greyscale images using Zipper Transformation (ZT) and Inverse Zipper Transformation (iZT). The proposed transformation exploits the conjugate symmetry property of DFT. We benchmark the proposed ZT with both Discrete Cosine Transformation (DCT) and Fast Walsh Hadamard Transformation (FWHT) in order to quantify the efficacy of the proposed tra...

Abstract: This paper aims to apply the Laplace transform for solving linear fractional-order differential equation. The Laplace transform is a powerful tool in applied mathematics and engineering. It will allow us to transform fractional differential equations into algebraic equations and then by solving this algebraic equations, we can obtain the unknown function by using the Inverse Laplace T...

Based on the method of fundamental solutions, we develop in this paper a new computational method to solve two-dimensional transient heat conduction inverse problems. The main idea is to use particular solutions as radial basis functions (PSRBF) for approximation of the solutions to the inverse heat conduction problems. The heat conduction equations are first analyzed in the Laplace transformed...

In this paper, inverse Laplace transform method is applied to analytical solution of the fractional Sturm-Liouville problems. The method introduces a powerful tool for solving the eigenvalues of the fractional Sturm-Liouville problems. The results  how that the simplicity and efficiency of this method.

This paper aims to develop semi-analytical results of the poromechanical fields in a hollow cylinder subjected an asymmetric loading condition. The poroelastic properties vary radial direction. heterogeneous is approximated by multilayer structure which each cylindrical layer assumed be homogeneous. analytical field are first established transformed Laplace space, and then ones time space obtai...