Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
By Ahniyaz Nurmuhammad, M. Muhammad, Masatake Mori, Masaaki Sugihara. 2005
50 citations recorded by the source corpus.
In this paper we consider a Sinc-collocation method for the two-point boundary value problem of fourth-order ordinary differential equation incorporated with the double exponential transformation (abbreviated as the DE transformation). By this method a convergence rate O(exp(-cN/log N)) where N is a parameter representing the number of terms in the Sinc approximation is attained. We compared the result with ones based on the single exponential transformation which made us confirm the high efficiency of the present method.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/3fd7914c81c945449d8b6bd31fe2d85017660c06
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In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Discovery of the Double Exponential Transformation and Its Developments (2005, methodology): “Recently Nurmuhammad and his co-researchers jointly with Sugihara applied the sinc collocation method successfully to boundary value problems of fourth order differential equation [ 43 ].”