In this paper, we consider approximation of a second order elliptic problem defined on a domain in two dimensional Euclidean space. Partitioning the domain into two subdomains, we consider a technique proposed by Wieners and Wohlmuth [23] for coupling mixed finite element approximation on one subdomain with a finite element approximation on other. We consider iterative solution of the resulting...

The solution of the equations governing the two-dimensional slow viscous fluid flow is analysed using a novel technique based on a Laplacian decomposition instead of the more traditional approaches based on the biharmonic streamfunction formulation or the velocity-pressure formulation. This results in the need to solve three Laplace equations for the pressure and two auxiliary harmonic function...

This paper provides equivalent characterization of the discrete maximum principle for Galerkin solutions of general linear elliptic problems. The characterization is formulated in terms of the discrete Green’s function and the elliptic projection of the boundary data. This general concept is applied to the analysis of the discrete maximum principle for the higher-order finite elements in one-di...

This work investigates a mathematical fractional-order model that depicts the Caputo growth of new coronavirus (COVID-19). We studied existence and uniqueness linked solution using fixed point theory method. Using Laplace Adomian decomposition method (LADM), we explored precise our obtained results are stated in terms infinite series. Numerical data were then used to demonstrate use derivative ...

We attenuated incoherent seismic noise using singular value decomposition in the Laplace domain. Laplace-domain wavefields are sensitive to small-amplitude contaminating first-arrival signals due damping transform; this is boosted by transform, so we need attenuate amplified transformed into domain and logarithmic applying a moving average filter low-rank approximation truncated decomposition. ...

we introduce and discuss the homotopy perturbation method, the adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. then, we give an example of the stefan problem with  kinetics and solve it by these methods.