In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method i...

In this paper , we present the first moment has been defined based on the center of mass from the fuzzy number, then with calculating area between the center of mass, a new ranking method has been proposed. At last we present some numerical examples to illustrate our proposed method, then comparing with distance index ranking method.

introduction selection of the clear and transparent index for the precipitation using long-term homogeneous data is an important point for the researchers. several investigations have led to different indices for heavy rainfall. in some cases the specific amount of precipitation was used for heavy rainfall (rahimzadeh, 2005; masoodian, 2008; kamiguchi et al., 2006), e.g. alijani (2002) has sugg...

The primary objective of this paper is to demonstrate the utility symplectic numerical techniques for ray tracing within gradient-index media. relevant mathematics are explained in brief, deriving optical Hamiltonian independently Lagrangian formalism before constructing a algorithm. Numerical experiments with Luneburg and Maxwell fish-eye lenses compare effectiveness methods standard integrati...