Results 131 to 140 of about 24,884 (178)

An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels

Mathematical methods in the applied sciences, 2021
In this article, a Sinc‐collocation method is proposed and analyzed for solving the nonlinear fourth‐order partial integro‐differential equation with the multiterm kernels.
Huifa Jiang, Da Xu
semanticscholar   +1 more source

Sinc-collocation method for solving the Blasius equation

Physics Letters A, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Parand, K., Dehghan, Mehdi, Pirkhedri, A.   +2 more
openaire   +2 more sources

Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

Advances in Applied Mathematics and Mechanics, 2016
Summary: In this article, Sinc collocation method is considered to obtain the numerical solution of integral algebraic equation of index-1 by reducing it to an explicit system of algebraic equation. It is shown that Sinc collocation solution can produce an error of order \(\mathcal{O}(\sqrt{N}e^{-k\sqrt{N}})\).
Zhao, Jingjun, Cao, Yang, Xu, Yang
openaire   +1 more source

Application of double exponential Sinc collocation method for the energy levels of the three-dimensional Schrödinger equation

International Symposium on Signal, Image, Video and Communications, 2022
The energy levels of the time-independent Schrödinger equation are computed in three dimensions by applying double exponential Sinc collocation method. Numerical results are provided to demonstrate the high accuracy of the proposed approach for different
S. Elgharbi, M. Essaouini, B. Abouzaid, S. Hajji, H. Safouhi   +4 more
semanticscholar   +1 more source

Improvement of Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind and their theoretical analysis

Journal of Computational and Applied Mathematics
Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind were proposed independently by multiple authors: by Shamloo et al. in 2012 and by Mesgarani and Mollapourasl in 2013.
Tomoaki Okayama
semanticscholar   +1 more source

A formally second‐order backward differentiation formula Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation

Numerical Methods for Partial Differential Equations, 2020
This paper presents a formally second‐order backward differentiation formula (BDF2) Sinc‐collocation method for solving the Volterra integro‐differential equation with a weakly singular kernel.
W. Qiu, Da Xu, Jing Guo
semanticscholar   +1 more source

Sinc-Collocation Methods for the Solution of Hallen's Integral Equation

Journal of Electromagnetic Waves and Applications, 2005
The Sinc-collocation method is presented for solving Hallen's integral equations. Properties of Sinc functions are first presented, these properties are then utilized to reduce the computation of Hallen's integral equations to some linear algebraic equations.
A. Saadatmandi, M. Razzaghi, M. Dehghan
openaire   +1 more source

Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

Journal of Computational and Applied Mathematics, 2005
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).
Masatake Mori, Masaaki Sugihara
exaly   +2 more sources

Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods

Computers and Mathematics With Applications, 1995
This paper deals with the solution of initial-boundary value problems for nonlinear evolution equations in one and two space dimensions. The solution technique is based on collocation-interpolation methods which use sinc functions. The application refers
Luca Ridolfi
exaly   +2 more sources

Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind

BIT Numerical Mathematics, 2010
The main purpose of this paper is to improve the Rashidinia-Zarebnia scheme (RZ Scheme) proposed in [\textit{J. Rashidinia} and \textit{M. Zarebnia}, Appl. Math. Comput. 168, No. 2, 806--822 (2005; Zbl 1082.65601)]. Two alternative schemes are proposed.
Okayama, Tomoaki, Matsuo, Takayasu, Sugihara, Masaaki   +2 more
openaire   +1 more source