abdullah abdullah

The mass variation effect of the test particle is studied in the collinear restricted four-body configuration with the assumption that the shapes of the three primary bodies are triaxial. It is assumed that these three primary bodies are placed in consecutive order on the abscissa axis and their axes are always parallel to the synodic ones. We also consider that the central body have solar radiation effect and whole the system is affected by Coriolis as well as centrifugal forces. Under these assumptions and using Jeans’ law, the equations of motion and quasi-Jacobian integral are determined. And hence the locations of parking points, Poincaré surfaces of section, surfaces with projection and basins of attractions are illustrated for the various values of the variation parameters .$\mu, \phi_1 , \phi_2 ,T_{11} , T_{21} , T_{31} , T_{12} , T_{22} , T_{32} , T_{13} , T_{23} , T_{33}$. Further-more the stability of the parking points are examined in the in-plane as well as in the out-of-plane.

In this paper, We studied an application of the Haar wavelet basis in solving a particular class of delay differential equations. We have extended the Haar wavelet series(HWS) method to develop a numerical technique to solve linear and nonlinear Dirichlet boundary value problems of proportional delay nature. Some problems are presented to test the efficiency of the proposed technique, where a remarkable agreement between approximate and analytic solutions is obtained. The numerical simulation indicates that error drops with the increase in the level of resolution. Also, it is observed that the rate of convergence tends to be 2.