Results 11 to 20 of about 13,879 (233)
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
A. Alipanah +2 more
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Function classes for successful DE-Sinc approximations [PDF]
Mathematics of Computation, 2008 The DE-Sinc formulas, resulting from a combination of the Sinc approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In many cases they are more efficient than the SE-Sinc formulas, which are the Sinc approximation formulas combined with the single exponential (SE ...
Ken'ichiro Tanaka +2 more
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Photonics, 2023 This paper proposes a novel method to improve the anti-dispersion ability of the all-optical orthogonal frequency division multiplexing (AO-OFDM) system.
Kai Lv +7 more
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Journal of Analytical Science and Technology, 2020 In magnetic resonance imaging, the fidelity of image reconstruction is an important criterion. It has been suggested that the infinite-extent sinc kernel is the ideal interpolation kernel for ensuring the reconstruction quality of non-Cartesian ...
Sangwoo Kim, Chulhyun Lee
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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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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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Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions
Fractal and Fractional, 2022 The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function, encompassing the fundamental features and important conclusions under natural ...
Gerd Baumann, Norbert Südland
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Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method [PDF]
Journal of Applied and Computational Mechanics, 2021 An important equation usually used in modeling neuronal dynamics is cable equation. In this work, a numerical method for the fractional cable equation which involves two Riemann-Liouville fractional derivatives is proposed. Our computational technique is
Nasrin Moshtaghi, Abbas Saadatmandi
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High-Order Sinc-Correlated Model Vortex Beams
Photonics, 2023 We propose a new partially coherent vortex source model in which the spatial correlation function is a sinc function on the difference from the q-th power of the coordinates of two points of the source field.
Jixian Wang +4 more
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Heliyon, 2021 In this study, numerical treatment of liquid crystal model described through Hunter-Saxton equation (HSE) has been presented by sinc collocation technique through theta weighted scheme due to its enormous applications including, defects, phase diagrams ...
Iftikhar Ahmad +5 more
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