We present and study the stability, convergence, and order of convergence of a numerical scheme used in geophysics, namely, the stochastic version of a deterministic “implicit leapfrog” scheme which has been developed for the approximation of the so-called barotropic vorticity model. Two other schemes which might be useful in the context of geophysical applications are also introduced and discu...

In this paper, we focus on a splitting method called the $ \theta $-scheme proposed by Glowinski and Le Tallec in [17,20,27]. First, present an elaborative convergence analysis Hilbert space propose general convergent inexact $-scheme. Second, for unconstrained problems, prove of show sublinear rate terms objective value. Furthermore, practical is derived to solve l_2 $-loss based problems its ...

We consider one-dimensional reaction-diffusion equations for a large class of spatially periodic nonlinearities – including multistable ones – and study the asymptotic behavior of solutions with Heaviside type initial data. Our analysis reveals some new dynamics where the profile of the propagation is not characterized by a single front, but by a layer of several fronts which we call a terrace....

The work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method  and Adomian decomposition method for solving  differential equations of integer and fractional orders.

There are situations in Numerical Analysis concerning the convergence of discretization procedures which seem to be of different type but can uniformly be described by a property introduced here, called continuous convergence of relations. Historical examples demonstrate this standardization.

People’s Republic of China has a long history of accounting and accounting reforms. This study focuses on “whether China should continue its IFRS-based domestic accounting standards or full convergence with the IFRS is more appropriate”? Both quantitative and qualitative approaches are applied to answer the research question of this work. Binary choice model has been used in the statistical ana...

In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian'sdecomposition method (ADM) and homotopy analysis method (HAM). Theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. The existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. A numerical...

In this paper, we apply the  homotopy analysis method (HAM) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...