2009, Vol 10, No 2
http://hdl.handle.net/123456789/10473
2021-07-26T16:51:32ZNumerous exact solutions for the Dodd-Bullough-Mikhailov equation by some different methods
http://hdl.handle.net/123456789/10481
Numerous exact solutions for the Dodd-Bullough-Mikhailov equation by some different methods
Davodi, A. G.; Ganji, D. D.; Alipour, M. M.
In this work, we implement some analytical techniques such as Tan, Tanh, Extended Tanh and Sech methods for solving the nonlinear partial differential equation, which contain exponential terms; its name, DoddBulloughMikhailov (DBM) equation. These methods can be used as an alternative to obtain exact solutions of different types of differential equations which applied in engineering mathematics.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/238
2009-01-01T00:00:00ZFixed points of quasi-nonexpansive mappings and best approximation
http://hdl.handle.net/123456789/10480
Fixed points of quasi-nonexpansive mappings and best approximation
Narang, T. D.; Chandok, Sumit
Using fixed point theory, B.Brosowski [Mathematica (Cluj) 11 (1969), 195-220] proved that if T is a nonexpansive linear operator on a normed linear space X, C a T-invariant subset of X and x a T-invariant point, then the set PC(x) of best C-approximant to x contains a T-invariant point if PC(x) is non-empty, compact and convex. Subsequently, many generalizations of the Brosowskis result have appeared. In this paper, we also prove some extensions of the results of Brosowski and others for quasi-nonexpansive mappings when the underlying spaces are metric linear spaces or convex metric spaces.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/237
2009-01-01T00:00:00ZA new approach to the Thomas-Fermi equation
http://hdl.handle.net/123456789/10479
A new approach to the Thomas-Fermi equation
OturanĂ§, Galip
In this paper, a numerical method for solving Thomas -Fermi equation which plays very important role in applied mathematics and physics is proposed. The proposed scheme is based on the fractional differential transform method (FDTM) and Padapproximants. This method is approached to ?nd the numerical values of the initial slope of the Thomas-Fermi potential y'(0). In addition, the numerical results demonstrate the validity and applicability of the new technique. Finally, a comparison is made with existing results.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/236
2009-01-01T00:00:00ZEstimating system reliability of competing weibull failures with censored sampling
http://hdl.handle.net/123456789/10478
Estimating system reliability of competing weibull failures with censored sampling
Abd-Elfattah, A. M.; Mohamed, Marwa O.
In this paper, we consider the estimation of R=P(Y<X) where X and Y have two independent Weibull distributions with different scale parameters and the same shape parameter. We used different methods for estimating R. Assuming that the common shape parameter is known, the maximum likelihood, uniformly minimum variance unbiased and Bayes estimators for R are obtained based on type-II right censored sample. Monte Carlo simulations are performed to compare the different estimators.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/235
2009-01-01T00:00:00Z