Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Beong In Yun"'
Autor:
Beong In Yun
Publikováno v:
Mathematics, Vol 8, Iss 5, p 677 (2020)
In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals. The proposed rational transformations include parameters playing an important role
Externí odkaz:
https://doaj.org/article/2349d4b2c72940fe9c83dc4c58399a52
Autor:
Beong In Yun
Publikováno v:
Abstract and Applied Analysis, Vol 2017 (2017)
We introduce a generalized sigmoidal transformation wm(r;x) on a given interval [a,b] with a threshold at x=r∈(a,b). Using wm(r;x), we develop a weighted averaging method in order to improve Fourier partial sum approximation for a function having a
Externí odkaz:
https://doaj.org/article/f8d0cdee6dbb4b26937d3536c3face1b
Autor:
Beong In Yun
Publikováno v:
Mathematics, Vol 7, Iss 3, p 262 (2019)
It is well known that feed-forward neural networks can be used for approximation to functions based on an appropriate activation function. In this paper, employing a new sigmoidal function with a parameter for an activation function, we consider a co
Externí odkaz:
https://doaj.org/article/6d757b119c164302aaa361e5553dbab1
Autor:
Beong In Yun
Publikováno v:
Journal of Applied Mathematics, Vol 2015 (2015)
We propose a method to smoothen a piecewise linear interpolation at a small number of nodes on a bounded interval. The method employs a sigmoidal type weight function having a property that clusters most points on the left side of the interval towa
Externí odkaz:
https://doaj.org/article/8c26269206c84313bbec2cb0904b2503
Autor:
Beong In Yun
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
For the Blasius velocity profile we propose a simple algebraic type approximate function which is uniformly accurate over the whole region. Moreover, for further improvement a correction method based on a weight function is introduced. The availabili
Externí odkaz:
https://doaj.org/article/3c0b8238e46f4562b798fe3cc56a21b9
Autor:
Beong In Yun
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval 0,∞. The method is based on a weight function having an S-shape to reflect a series
Externí odkaz:
https://doaj.org/article/a4b2fd236c734ed68456c24f98434504
Autor:
Beong In Yun
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We propose simple forms of approximate analytical solutions for the generalized Blasius problem based on the given boundary conditions and some known properties of the solution. The efficiency of the proposed solutions is shown for various cases. As
Externí odkaz:
https://doaj.org/article/457c34835ff4430a9ed5bdc605e38e9e
Autor:
Beong In Yun
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a smal
Externí odkaz:
https://doaj.org/article/35e71a053d5f42b9a8d755fa3dc740b7
Autor:
Beong In Yun
Publikováno v:
Journal of Applied Mathematics, Vol 2011 (2011)
We derive a new iteration method for finding solution of the generalized Blasius problem. This method results in the analytical series solutions which are consistent with the existing series solutions for some special cases.
Externí odkaz:
https://doaj.org/article/692e3c76764f421cba420be6516d7ddb
Autor:
Beong In Yun
Publikováno v:
Applied Mathematics and Computation. 408:126366
In this work, we propose a new constructive piecewise interpolation method. The procedure is composed of a weighted average of two sequential interpolating polynomials on each subinterval, where we employ a rational weight function satisfying some pr