The two-wave-plate compensator (TWC) technique is introduced for single-point retardation measurements. The TWC method uses a known wave plate together with a wave plate of unknown retardation and produces a linearly polarized output that allows a null of intensity to be detected. The TWC method is compared both theoretically and experimentally with the existing Brace-Köhler and Sénarmont metho...

This paper presents a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations. The method works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula...

in this article, we develop the sinc-galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. also several examples are solved to show the accuracy efficiency of the presented method. we compare the obtained numerical results with results of the other existing methods in...

Pseudospectral collocation is employed for the numerical solution of nonlinear two-point boundary value problems with separated end conditions. Second-order finite difference schemes are used as preconditioners for the spectral calculation, and a solution of the discretized equations is obtained using versions of the defect correction principle. The method and a variant based on an adaptive gri...

In this paper, we prove common fixed point theorems for two hybrid pairs of multivalued and single valued mappings on noncomplete metric spaces using the property (E.A). We improve the results of Damjanović et al [1] and several other authors.

*Correspondence: [email protected] 1Department of Mathematics, Nanchang University, Nanchang, 330031, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a new concept of the common property (E.A) for two hybrid pairs of mappings is introduced in Menger PM-spaces. Utilizing this concept, some common fixed point theorems, which shed some new...

in this paper, by means of fuzzy approaches, an accurate method is introduced for edging of color photographs. the difference between our method with other similar methods is the use of a morphological operation to think or thick the obtained edges. in this proposed method, a 3×3 window is dragged on the photo. for each block, 12 point sets will be defined, each including two non-overlapping po...

Numerical modeling of the entire process tsunamis generation by granular landslides is very difficult and challenging as it involves soil–water interaction, large deformation soil, fluidization sedimentation sand. In this study, a computational model based on two-layer two-phase material point method (MPM) developed to simulate granular-landslide-generated tsunamis, wherein sand are well modele...