A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline.

In this work, we construct the lumped Galerkin approach based on cubic B-splines to obtain the numerical solution of the generalized regularized long wave equation. Applying the von Neumann approximation, it is shown that the linearized algorithm is unconditionally stable. The presented method is implemented to three test problems including single solitary wave, interaction of two solitary waves and development of an undular bore. To prove the performance of the numerical scheme, the error norms [Formula: see text] and [Formula: see text] and the conservative quantities [Formula: see text], [Formula: see text] and [Formula: see text] are computed and the computational data are compared with the earlier works. In addition, the motion of solitary waves is described at different time levels.

Levels of depression, anxiety and behavioural problems and frequency of psychiatric disorders in children with chronic idiopathic urticaria.

BACKGROUND: Several studies reported that adults with chronic idiopathic urticaria (CIU) frequently exhibit psychiatric comorbidity, most commonly depression and anxiety disorders. However the literature about children is limited. OBJECTIVES: To investigate the frequency of psychiatric disorders and to determine the levels of depression, anxiety and behavioural problems in a group of children with CIU. METHODS: The study included 27 children with CIU and 27 age- and sex-matched healthy subjects. Psychiatric assessment was done by using the Schedule for Affective Disorders and Schizophrenia for School Age Children-Present and Lifetime Version (K-SADS-PL). The State-Trait Anxiety Inventory for Children (STAI-C), Children's Depression Inventory (CDI) and Child Behavior Checklist (CBCL) were used to examine the levels of depression, anxiety and behavioural behaviours, respectively. RESULTS: The study group had more frequent psychiatric diagnoses than the control group (70% vs. 30%) and the most common psychiatric disorders were social anxiety disorder, separation anxiety disorder and specific phobia. Depression, trait anxiety, internalizing problems, somatic complaints and anxiety/depressed scores were significantly higher in children with CIU. No correlation was found between the severity and duration of illness and psychological functioning. CONCLUSION: This study showed that children with CIU had high psychiatric morbidity. The results suggest that the psychological status of children with CIU should be screened by clinicians and that an interdisciplinary approach combining dermatological and psychiatric evaluations is necessary for the management of CIU.

Late results of a simple closure technique and Helicobacter pylori eradication in duodenal ulcer perforation.

BACKGROUND AND AIM: The aim of this study is to determine the incidence of Helicobacter pylori (H. pylori) in patients operated on for duodenal ulcer perforation and to evaluate the late results of a simple closure technique in patients positive and negative for H. pylori. METHODS: The data of 84 patients who underwent simple closure for duodenal ulcer between 2003-2007 were retrospectively studied. Antral biopsy material taken from all patients during laparotomy was studied with the rapid urease test and the patients were then separated into 2 groups. Group 1 (H. Pylori positive) received postoperative H. pylori eradication treatment, and Group 2 (H. pylori negative) received only lansaprasol treatment after surgery. All patients were evaluated with upper gastrointestinal endoscopy on the 6th and 14th postoperative weeks. Primary treatment failure was considered in patients who had non-healing ulcers after 14 weeks. Patients with healed ulcers were scheduled for annual examinations. The results were compared between the groups. RESULTS: The rate of H. pylori infection in duodenal ulcer perforation was found to be 80.9%. Ulcer healing rates on the postoperative 6th and 14th weeks were 88.2% and 97.5% in the first group, and 68.8% and 81.2% in the second group, respectively. Mean postoperative follow-up was 41.28 +/- 17.63 (range 17-73) months. Ulcer recurrence rate was found to be 4.54% in Group 1 and 30.76% in group 2 (p = 0.012). CONCLUSIONS: All patients with a perforated peptic ulcer should be treated with simple closure of the perforation followed by medical therapy aimed at healing the ulcer. We believe that H. pylori negative patients have more risk of recurrence and such patients require close postoperative follow-up.