Results 1 to 10 of about 24,884 (178)
Results in Applied Mathematics, 2023 In this paper, we use the nonclassical SE-sinc-collocation and nonclassical DE-sinc-collocation methods for the numerical solution of singular third-order boundary value problems. The novelty of the approach is based on using the new non-classical weight
Amjad Alipanah
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Partial Differential Equations in Applied Mathematics, 2021 Recent progress seems to suggest that the use of Sinc collocation method for the numerical treatment of partial differential equations, as a great level of precision and accuracy has been obtained on computational grounds.
Iftikhar Ahmad +3 more
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Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations [PDF]
Journal of Applied Mathematics, 2014 We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order α. This approach is based on the finite difference in time and the global sinc collocation in space.
Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi
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Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems [PDF]
EPJ Web of Conferences, 2016 Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems.
Gaudreau Philippe, Safouhi Hassan
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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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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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Numerical Solution of Troesch’s Problem by Sinc-Collocation Method
Applied Mathematics, 2013 A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy perturbation technique (MHP), the variational iteration method and the ...
Mohamed El-Gamel
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Sinc-Integral method to solve the linear Schrodinger equation [PDF]
Mathematics and Computational Sciences, 2020 The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method.
Seyed Mohammad Ali Aleomraninjad +1 more
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A sinc-collocation method for initial value problems [PDF]
Mathematics of Computation, 1997 Summary: A collocation procedure is developed for the initial value problem \(u'(t) = f(t,u(t))\), \(u(0) = 0\), using the globally defined sinc basis functions. It is shown that this sinc procedure converges to the solution at an exponential rate, i.e., \( \mathcal{ O} (M^{2} \exp(-\kappa \sqrt{M}))\) where \(\kappa > 0\) and \(2M\) basis functions ...
Timothy S. Carlson +2 more
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Results in Applied Mathematics, 2023 This paper presents a new numerical technique based on the sinc-collocation approximation for solving of the system of second-order integro-differential equations with initial boundary conditions.
K. Mohammadi, A. Alipanah
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