other areas. However, the spectral properties of the Laplace transform tend to complicate its numerical treatment; therefore, the closely related “truncated” Laplace transforms are often used in applications. In this dissertation, we construct efficient algorithms for the evaluation of the singular value decomposition (SVD) of such operators. The approach of this dissertation is somewhat simila...

other areas. However, the spectral properties of the Laplace transform tend to complicate its numerical treatment; therefore, the closely related “truncated” Laplace transforms are often used in applications. In this dissertation, we construct efficient algorithms for the evaluation of the singular value decomposition (SVD) of such operators. The approach of this dissertation is somewhat simila...

There has been a long-standing question of whether certain mesh restrictions are required for a maximum condition to hold for the discrete equations arising from a finite element approximation of an elliptic problem. This is related to knowing whether the discrete Green’s function is positive for triangular meshes allowing sufficiently good approximation of H1 functions. We study this question ...

small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. non-fourier heat transfer overcomes some shortcomings of fourier heat tran...

The fully nonlinear regular and focused wave propagation and diffraction around a vertical circular cylinder in a numerical wave tank are investigated. The Mixed Eulerian-Lagrangian approach is used to update the moving boundary surfaces in a Lagrangian scheme, in which a higher-order boundary element method is applied to solve the wave field based on an Eulerian description at each time step. ...

in this work, the solution of a boundary value problem is discussed via asemi analytical method. the purpose of the present paper is to inspect theapplication of the adomian decomposition method for solving the nagumo tele-graph equation. the numerical solution is obtained for some special cases sothat demonstrate the validity of method.

The fractional generalization of the Ambartsumian delay equation with Caputo’s derivative is considered. very difficult to be solved neither in case ordinary derivatives nor derivatives. In this paper we combine Laplace transform Adomian decomposition method solve studied equation. exact solution obtained as a series which terms are expressed by Mittag-Leffler functions. advantage present appro...

This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported this scheme with precise accuracy and the error measure stunningly low. surface plots, density plots exhibited for different parameter choices. simulations almost an exact replica of such that analytically arise from governing system. suggested ...

This work aims at a new semi-analytical technique called the Adomian decomposition method for analysis of time-fractional Emden–Fowler equations. The Laplace transformation and iterative are implemented to obtain result given models. suggested has edge over other methods, as it does not need extra materials calculations. presented validity is demonstrated by examining four mathematical Due stra...