in this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. a fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. thomas algorithm is used to solve the tri-diagonal system. the stability of the algorithm is investigated. it ...

In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...

The thermal impedance Zth(jx) has been calculated numerically, using the boundary element method, for a silicon substrate with a uniform heat source on top. The key feature is that the dynamic thermal behaviour is calculated directly in the frequency domain. The calculations were performed for a wide range of values for the thickness of the substrate. By representing the thermal impedance in a ...

In the inspection of treated water samples under microscope, knowing the average number of parasite (oo)cysts like Giardia and Cryptosporidium that exist in the samples is crucial as it tells whether the water is safe for consumption. Here, we introduce a new approach using a bidirectional contour tracing technique to segment and enumerate overlapping Cryptosporidium and Giardia (oo)cysts in mi...

Ellipse fitting for iris boundary is an important step in eye gaze estimation and iris recognition applications. In most of the proposed algorithms only the edge image is used for ellipse fitting. In these algorithms, the undesired edges may lead to erroneous iris ellipse. In this paper, we propose a novel algorithm to ellipse fitting for iris boundary which uses gray and edge images simultaneo...

We present a new application of the complex polynomial method variant of the complex variable boundary element method. Instead of fitting the boundary conditions using collocation points, we minimize the error of fit in the l2 norm to minimize the least-squares error. This approach greatly enhances the utility and efficiency of the method, allowing us to apply the method to a variety of enginee...

in this research, papaya slices with dimensions of 0.5×2×5 cm3 were dried at 45 °c using a cabinet dryer in which drying air velocity and relative humidity were 0.9 m/s and 30%, respectively. the moisture diffusion coefficient of papaya was determined in this drying condition. mass transfer equation with its boundary conditions was solved based on finite difference method. finally, coefficient ...

To meet the request of recognizing the runway synchronously and precisely for the UAV during the autonomous landing, the paper presents a method for automatic recognizing airport runway based on the knowledge of vision. Making full use of the characteristics of the runway region and boundary, this method first gets the approximate region by projection, then obtains the boundary by fitting line ...

Abstract In this paper a fitted second-order finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at both end (left and right) points. We have introduced a fitting factor in second-order tri-diagonal finite difference scheme and it is obtained from the theory of singular perturbations. The efficient Thomas algorithm is ...