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NON-POLYNOMIAL QUARTIC SPLINE METHOD FOR SOLVING TWELFTH ORDER BOUNDARY VALUE PROBLEMS
Arshad Khan,SHAHNA 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.4
In this paper, a non-polynomial quartic spline method is presented to obtain the approximate solution of twelfth-order boundary value problems with two point boundary conditions. For the employment of the method, the given problem is decomposed into a system of sixth order boundary value problems. Convergence analysis of the method for second and fourth order has been discussed. Numerical examples are given to demonstrate the accuracy and eciency of the developed method. Also, the results obtained by this method have been compared with the other existing methods.
Mehri, Fereshteh,Jenabi, Ensiyeh,Bashirian, Saeed,Shahna, Farshid Ghorbani,Khazaei, Salman Occupational Safety and Health Research Institute 2020 Safety and health at work Vol.11 No.2
Background: Rheumatoid arthritis (RA) is an autoimmune disease with systemic inflammatory arthritis. This meta-analysis was conducted to examine the association between occupational exposure to silica and the risk of developing RA among different workers. Methods: In this meta-analysis, we searched relevant published studies using major electronic databases including Scopus, PubMed, ISI Web of Science, and Google Scholar search engine up to October 2019, and the references of retrieved articles were also checked for further possible sources. A random-effects model was used to account for heterogeneity among the results of the studies using the pooled odds ratios (ORs) and their 95% confidence intervals (CIs). The Q-statistic and I<SUP>2</SUP> tests were calculated to assess heterogeneity between the studies. Results: The pooled calculation of OR indicated a significant association between occupational exposure to silica and risk of developing RA among different workers (OR = 2.59, 95% CI = 1.73 to 3.45). In addition, the pooled estimates of OR in smokers were statistically significant (OR = 2.49, 95% CI = 1.13 to 3.86). Conclusions: The findings of the present study reveal that occupational exposure to silica may be associated with increased risk of developing RA.