- Détails du magazine
- Format
- Magazine
- eISSN
- 1338-9750
- Première publication
- 12 Nov 2012
- Période de publication
- 3 fois par an
- Langues
- Anglais

#### Chercher

- Accès libre

Oscillation Results for Third-Order Quasi-Linear Emden-Fowler Differential Equations with Unbounded Neutral Coefficients

Pages: 1 - 14

#### Résumé

Some new oscillation criteria are obtained for a class of thirdorder quasi-linear Emden-Fowler differential equations with unbounded neutral coefficients of the form

#### Mots clés

- quasi-linear
- neutral differential equation
- Emden-Fowler differential equation
- oscillation

- Accès libre

A Quintic Spline Collocation Method for Solving Time-Dependent Convection-Diffusion Problems

Pages: 15 - 34

#### Résumé

In this paper, we develop a new numerical algorithm for solving a time dependent convection-diffusion equation with Dirichlet’s type boundary conditions. The method comprises the horizontal method of lines for time integration and (^{3}) for the backward Euler method and ^{2} + ^{3}) for the Crank-Nicolson method, where Δ

#### Mots clés

- convection-diffusion equation
- -method
- quintic
- spline collocation method
- convergence

- Accès libre

Solving Nonlinear Volterra-Fredholm Integral Equations using an Accurate Spectral Collocation Method

Pages: 35 - 52

#### Résumé

In this paper, we present a Jacobi spectral collocation method to solve nonlinear Volterra-Fredholm integral equations with smooth kernels. The main idea in this approach is to convert the original problem into an equivalent one through appropriate variable transformations so that the resulting equation can be accurately solved using spectral collocation at the Jacobi-Gauss points. The convergence and error analysis are discussed for both ^{∞} and weighted ^{2} norms. We confirm the theoretical prediction of the exponential rate of convergence by the numerical results which are compared with well-known methods.

#### Mots clés

- Jacobi collocation methods
- convergence analysis
- spectral methods
- nonlinear Volterra-Fredholm integral equations

- Accès libre

Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model

Pages: 53 - 70

#### Résumé

Finite volume (FV) numerical schemes for the approximation of Affine Morphological Scale Space (AMSS) model are proposed. For the scheme parameter

#### Mots clés

- affine morphological scale space
- finite volume scheme
- explicit
- semi-implicit
- fully-implicit
- Crank-Nicolson schemes
- stability estimates
- error
- EOC
- CPU time

- Accès libre

What was the River Ister in the Time of Strabo? A Mathematical Approach

Pages: 71 - 118

#### Résumé

We introduce a novel method for map registration and apply it to transformation of the river Ister from

#### Mots clés

- Strabo
- Geographica
- historical map registration
- affine transformation
- Laplace equation
- finite difference method
- Slavic ethnogenesis
- history of Central Europe

- Accès libre

Improvement and Handling of the Segmentation Model with an Inflation Term

Pages: 119 - 134

#### Résumé

The use of balloon models to address the problems of “snakes” based models was introduced by Laurent D. Cohen. This paper presents a geodesic active contours model with a modified external force term that includes a balloon model. This balloon model makes the segmentation surface to behave like a balloon inflated by the external forces. In this paper, we show an automatic way to control the behaviour of the external force with respect to the segmentation evolution. The external forces, comprised of edge and inflation terms, push the segmentation surface to edges, while curvature regularizes the evolution. As segmentation evolves, the influence of the applied inflation force is determined by how close we are to the edges. With this setup, the initial segmentation does not need to be close to the object’s edges, instead it is inflated by the balloon model towards the edges. Closer to the edges, the influence of the inflation force is adjusted accordingly. The force’s influence is completely turned off when the evolution is stable (reached the edges), then only the curvature and edge information is used to evolve the segmentation.

This approach solves the issues associated with inclusion of balloon model. These issues are that the inflation force can overpower forces from weak edges, or they can cause the contour to be slightly larger than the actual minima. We present examples of the improved model for segmentation of human bladder images. Weak edges are more prevalent in medical images, and the automated handling of the inflation forces gives promising results for this kind of images.

#### Mots clés

- geodesic active contours
- balloon model
- estimation
- curve fitting
- curve smoothing

- Accès libre

A Fractional Order Delay Differential Model for Survival of Red Blood Cells in an Animal: Stability Analysis

Pages: 135 - 144

#### Résumé

In this paper, we analyse stability of survival of red blood cells in animal fractional order model with time delay. Results have been illustrated by numerical simulations.

#### Mots clés

- red blood cell
- stability
- time-delay
- fractional differential equation
- Caputo fractional derivative