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The application of the Sinc-Collocation approach based on derivative interpolation in numerical oceanography

Journal of Computational Science, 2015
Abstract In this paper, the application of a Sinc-Collocation approach based on first derivative interpolation in numerical oceanography is presented. The specific model of interest involves a hydrodynamic model of wind-driven currents in coastal regions and semi-enclosed seas with depth-dependent vertical eddy viscosity.
Yasaman Mohseniahouei   +2 more
openaire   +1 more source

The numerical solution of differential-algebraic equations by sinc-collocation method

Computational and Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yeganeh, Somayeh   +3 more
openaire   +1 more source

Solving differential equations using Sinc-collocation methods with derivative interpolations

Journal of Computational Methods in Sciences and Engineering, 2015
This paper presents the application of Sinc-collocation method to solve linear second order boundary value problems based on derivative interpolation. Even in the presence of singularities, the Sinc-collocation method is known to exhibit exponential convergence, resulting in highly accurate solutions.
openaire   +1 more source

A Sinc–Collocation method for the linear Fredholm integro-differential equations

Zeitschrift für angewandte Mathematik und Physik, 2006
A Sinc–Collocation method for solving linear integro-differential equations of the Fredholm type is discussed. The integro-differential equations are reduced to a system of algebraic equations and Q-R method is used to establish numerical procedures. The convergence rate of the method is \(O{\left( {e^{{ - k{\sqrt N }}} } \right)}\).
Adel Mohsen, Mohamed El-Gamel
openaire   +1 more source

Sinc Collocation Methods for Solving Quantum Mechanical Problems

2017
In quantum mechanics, the Schrödinger equation is the staple for investi- gating and understanding quantum phenomena. Adjunct with the Schrödinger equation, the mathematical and physical laboratory that are anharmonic os- cillator potentials provide a powerful tool for modelling complex quantum systems.
openaire   +1 more source

The use of Sinc‐collocation method for solving Falkner–Skan boundary‐layer equation

International Journal for Numerical Methods in Fluids, 2010
AbstractThe MHD Falkner–Skan equation arises in the study of laminar boundary layers exhibiting similarity on the semi‐infinite domain. The proposed approach is equipped by the orthogonal Sinc functions that have perfect properties. This method solves the problem on the semi‐infinite domain without truncating it to a finite domain and transforming ...
Parand, K.   +2 more
openaire   +2 more sources

Solution of Troesche's problem by double exponential Sinc collocation method

2018
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.
Nabati, Mohammad   +2 more
openaire   +1 more source

Sinc collocation method: solution of a class of strongly nonlinear two-point boundary value problems

International Journal of Computing Science and Mathematics, 2023
M. Nabati   +3 more
semanticscholar   +2 more sources

Solutions of Singular Integral Equations Arising From Frictional Sliding Contact of Layer and Stamp Models Using Sinc‐Collocation Methods

Mathematical methods in the applied sciences
In this article, two approximate methods for solving singular integral equations of the second type with the Cauchy kernel are presented using numerical methods, which is a mathematical model for many practical problems.
Yaser Rostami   +2 more
semanticscholar   +1 more source

On solving nonlinear simultaneous equations arising from the double-exponential Sinc-collocation method for initial value problems

arXiv.org
The double-exponential Sinc-collocation method is known as a super-accurate method for solving initial value problems of ordinary differential equations, for which the error decreases almost exponentially as a function of the number of sample points in ...
Yusaku Yamamoto
semanticscholar   +1 more source

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