Results 11 to 20 of about 165 (150)
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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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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Partial Differential Equations in Applied Mathematics, 2021 In this paper, we use an efficient numerical method based on Sinc Legendre collocation method for numerically solving fractional model in the caputo sense of the Ebola virus. Fractional derivative is used in the Caputo sense.
M.H. Derakhshan
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DE Sinc-Collocation Method for Solving a Class of Second-Order Nonlinear BVPs [PDF]
Mathematics Interdisciplinary Research, 2021 In this work, we develop the Sinc-collocation method coupled with a Double exponential transformation for solving a special class of nonlinear second-order multi-point boundary value problems (MBVP).
Ali Eftekhari, Abbas Saadatmandi
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Solving Multi-Point Boundary Value Problems Using Sinc-Derivative Interpolation
Mathematics, 2020 In this paper, the Sinc-derivative collocation method is used to solve linear and nonlinear multi-point boundary value problems. This is done by interpolating the first derivative of the unknown variable via Sinc numerical methods and obtaining the ...
Kenzu Abdella, Jeet Trivedi
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Two Reliable Computational Techniques for Solving the MRLW Equation
Axioms, 2023 In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained using the Sinc-collocation method. This approach approximates the space dimension of the solution with a cardinal expansion of Sinc functions.
Kamel Al-Khaled, Haneen Jafer
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Sinc Collocation Method for Solving the Benjamin-Ono Equation [PDF]
Journal of Computational Methods in Physics, 2014 We propose a simple, though powerful, technique for numerical solutions of the Benjamin-Ono equation. This approach is based on a global collocation method using Sinc basis functions. Some properties of the Sinc collocation method required for our subsequent development are given and utilized to reduce the computation of the Benjamin-Ono equation to a ...
Edson Pindza, Eben Maré
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Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation
Mathematics, 2020 In this paper, the sinc-derivative collocation approach is used to solve second order integro-differential boundary value problems. While the derivative of the unknown variables is interpolated using sinc numerical methods, the desired solution and the ...
Kenzu Abdella, Glen Ross
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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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