نتایج جستجو برای: double exponential transformation

تعداد نتایج: 518044  

In this investigation, the Sinc collocation method based on double exponential transformation is developed to solve the Troesche's problem. Properties of this method are utilized to reduce the system of strongly nonlinear two point boundary value problem to same nonlinear algebraic equations. Combining double exponential transformation through Sinc collocation method causes the remarkable resul...

Journal: :bulletin of the iranian mathematical society 2015
j. rashidinia m. nabati s. ahanj

in this article, we develop the sinc-galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. also several examples are solved to show the accuracy efficiency of the presented method. we compare the obtained numerical results with results of the other existing methods in...

Journal: :computational methods for differential equations 0
mohammad nabati basic of sciences, abadan faculty of petroleum engineering, petroleum university of technology, abadan, iran mahdi jalalvand department of mathematics, faculty of mathematical sciences and computer shahid chamran university, ahvaz, iran

sinc-galerkin method based upon double exponential transformation for solving troesch's problem was given in this study. properties of the sinc-galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.the error bound of the method was fo...

In this paper‎, ‎numerical solution of‎ ‎general Lane-Emden equation via collocation method based on‎ ‎Double Exponential DE transformation is considered‎. ‎The‎ ‎method converts equation to the nonlinear Volterra integral‎ ‎equation‎. ‎Numerical examples show the accuracy of the method.‎ ‎Also‎, ‎some remarks with respect to run-time‎, computational cost‎ ‎and implementation are discussed.

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

Journal: :Publications of the Research Institute for Mathematical Sciences 2005

Journal: :Publications of the Research Institute for Mathematical Sciences 2007

Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.The error bound of the method was found. ...

2005
Masatake Mori

This article is mainly concerned how the double exponential formula for numerical integration was discovered and how it has been developed thereafter. For evaluation of I = ∫ 1 −1 f(x)dx H. Takahasi and M. Mori took advantage of the optimality of the trapezoidal formula over (−∞,∞) with an equal mesh size and proposed in 1974 x = φ(t) = tanh( 2 sinh t) as an optimal choice of variable transform...

Journal: :Publications of the Research Institute for Mathematical Sciences 2005

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