In this paper, we consider a member of an integrable family generalized Camassa–Holm (GCH) equations. We make analysis the point Lie symmetries these equations by using method infinitesimals. derive nonclassical and find new via method, which cannot be obtained symmetry method. employ multiplier to construct conservation laws for GCH Using underlying equation, double reduction is also construct...

this paper has been devoted to apply the reconstruction of variational iteration method (rvim) to handle the systems of integro-differential equations. rvim has been induced with laplace transform from the variational iteration method (vim) which was developed from the inokuti method. actually, rvim overcome to shortcoming of vim method to determine the lagrange multiplier. so that, rvim method...

We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions. Abstract conditions are given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are given. The first one is a dual basis example while the remaining two are b...

Using the Variational Iteration Method (VIM) 3D static deflection problem of composite beams subject to concentrated tip and uniformly distributed loads is analysed, resulting in a system coupled non-homogeneous ordinary differential equations. general Lagrange multiplier, identified by variational theory, special type functional constructed. By making an initial approximation form Maclaurin se...

In this paper we shall give description about the extraction of a rapidly decaying remainder from Euler series and telescoping series. Then apply procedure to generalised The new positive term obtained with will converge faster than original We also. introduction such better approximation for

Falling poses a major threat to the steadily growing population of the elderly in modern-day society. A major challenge in the prevention of falls is the identification of individuals who are at risk of falling owing to an unstable gait. At present, several methods are available for estimating gait stability, each with its own advantages and disadvantages. In this paper, we review the currently...