Results 11 to 20 of about 12,685 (261)
Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations
Algorithms, 2022 We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil +3 more
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Theory and Computations for the Nonlinear Burgers’ Equation via the Use of Sinc-Galerkin Method
Journal of Electrical and Computer Engineering, 2022 In this research, Burgers’ equation, which is well known to be nonlinear partial differential equation, has many applications for studying some physical phenomena in the disciplines we mention, water waves, plasma waves, and ion acoustic plasma waves ...
Anwar Al-Momani, Kamel Al-Khaled
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Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method [PDF]
Abstract and Applied Analysis, 2012 The eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity are computed using the sinc-Gaussian method. The error analysis of this method for solving discontinuous regular Dirac system is discussed.
A. H. Bhrawy, M. M. Tharwat, A. Al-Fhaid
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Boundary Value Problems, 2023 In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems of second-order integro-differential equations of the Volterra and Fredholm types.
Mohammad Ghasemi +2 more
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Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs [PDF]
The Scientific World Journal, 2014 The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the ...
A. Pirkhedri +2 more
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Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method
Sultan Qaboos University Journal for Science, 2015 In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
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Shock wave simulations using Sinc Differential Quadrature Method
Engineering Computations, 2011 PurposeThis paper aims to present a numerical solution of non‐linear Burger's equation using differential quadrature method based on sinc functions.Design/methodology/approachSinc Differential Quadrature Method is used for space discretization and four ...
Alper Korkmaz, İdris Dağ
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An Alternating-Direction Sinc–Galerkin method for elliptic problems
Journal of Complexity, 2009 A new Alternating-Direction Sinc–Galerkin (ADSG) method is developed and contrasted with classical Sinc–Galerkin methods. It is derived from an iterative scheme for solving the Lyapunov equation that arises when a symmetric Sinc–Galerkin method is used ...
Kenneth L. Bowers +3 more
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Analysis of a sinc-Galerkin Method for the Fractional Laplacian
SIAM Journal on Numerical Analysis, 2023 We provide the convergence analysis for a sinc-Galerkin method to solve the fractional Dirichlet problem. This can be understood as a follow-up of an earlier article by the same authors, where the authors presented a sinc-function based method to solve ...
Striet, Ludwig +2 more
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