In this paper, we study the influence of applying the well-known finite differences method on medical and physical images. These images will be used as coefficients in the steps of the solution after the images being imported and converted to arrays. The aim of the study is to show and analyze the changes that could happen to images for the sake of an enhancement. Experiments of one dimension and two dimensions will be illustrated by applying the explicit and the implicit methods using MATLAB to explain the way of how these methods affect images. Furthermore, we will study and measure the quality of the proposed images in each phase of the experiments using statistical metrics such as PSNR (Peak Signal to Noise Ratio), MSE (Mean Squared Error), MD (Maximum Difference) and some other statistical metrics.

In this paper, we suggest and analyze two algorithms; a new Inverse Quadratic Interpolation and Illinois for solving nonlinear equation of a solar cell single diode type with initial value x0 and load resistance R varies from 1 to 5 Ω is implemented in MATLAB program. Using five numerical testes examples, the results secured reveal that the suggested algorithm has lesser iterations than the other method (Illinois method), so the accuracy and efficiency of the proposed method is the best.

Root finding is a basic example that still remnant an interest to several researchers. Several hybrid experiments are developed to obtain approximate solutions for nonlinear equations. Thus, this paper presents an analysis on numerical comparison between common method and the other methods. An evaluation iterative method MATLAB is utilized for this paper. Numerical and interpretative results prove that Dekker’s Formula is acceptably efficient, accurate, and easy to use compared with other iterative methods.