A study on Marangoni convection by the variational iteration method

In this letter, we will consider the use of the variational iteration method and Pad\'e approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The solutions are compared with the numerical (fourth-order Runge Kutta) solutions.Comment: 6 pages, 2 figure

Extraterresterial güneş radyasyonunun hesaplanmasında güneş geliş açısının astronomik koodinat sistemlerinde incelenmesi

Bu çalışma da, güneş enerjisinin kaynacı ele alınmış, Güneş enerjisi uygulamaları ağısından gerekli olan küresel astronomi bilgisi verilmiş ve bu bilgilerin ışığı altında, konumu belli olan düzlem üzerinde güneş ışının geliş açısı. Belirlenmiştir.Daha sonra çeşitli konumlarda ve çeşitli zaman aralıklarında, yüzeyler üzerine gelen extraterres- terial güneş radyasyonu hesapları formüle edilmiştir. Bu formülasyonlar üç il için uygulanmıştı

Numerical solutions of nonlinear wave-like equations by reduced differential transform method

WOS:000553365300009This paper is presented to give numerical solutions of nonlinear wave-like equations with variable coefficients by using Reduced Differential Transform Method (RDTM). RDTM can be applied most of the physical, engineering, biological and etc. models as an alternative to obtain reliable and fastest converge, efficient approximations. Hence, our obtained results showed that RDTM is a very simple method and has a quite accuracy

The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation

Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. The aim of this study is to overcome this difficulty by using Padé approximation with the differential transform method (DTM) on a form of classical Blasius equation. The obtained results are compared with, for the first time, the ones obtained by using a modified form of Adomian decomposition method (ADM). Furthermore, in order to see the consistency of solutions, they are also compared with the ones obtained by using variational iteration method (VIM)

Estimation of wind speed data with setar model

The threshold model allows expression with different Autoregressive Moving Average (ARMA) models sorted according to the threshold value of the observations. In this study, nineteen years of observed wind speed data have been modeled with the Self Exciting Threshold Autoregressive (SETAR) model. Two different Autoregressive (AR(3)) models have been obtained for the situation where the wind speed was below and above 2.5 m / s of the previous observation in the time series. In addition, in the SETAR (1,3,3) model, it has been determined that the residual terms have the effect of GARCH (1,1) and a range has been estimated for model predictions