Results 21 to 30 of about 11,694 (172)
Solving Multi-Point Boundary Value Problems Using Sinc-Derivative Interpolation [PDF]
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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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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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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The Sinc-collocation method for solving the Thomas–Fermi equation
Journal of Computational and Applied Mathematics, 2013 A numerical technique for solving nonlinear ordinary differential equations on a semi-infinite interval is presented. We solve the Thomas–Fermi equation by the Sinc-Collocation method that converges to the solution at an exponential rate.
Parand, K. +2 more
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Axioms, 2023 In this article, we develop an efficient numerical scheme for dealing with fractional partial integro-differential equations (FPIEs) with a weakly singular kernel.
Mingzhu Li, Lijuan Chen, Yongtao Zhou
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Sinc collocation method with boundary treatment for two-point boundary value problems
Journal of Computational and Applied Mathematics, 2006 Sinc collocation method is proven to provide an exponential convergence rate in solving linear differential equations, even in the presence of singularities.
Xionghua Wu
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Application of Sinc-collocation method for solving an inverse problem
Journal of Computational and Applied Mathematics, 2009 In this article, the identification of an unknown time-dependent source term in an inverse problem of parabolic type with nonlocal boundary conditions is considered.
Damirchi, J. +2 more
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Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method
Ain Shams Engineering Journal, 2015 We propose a numerical method for solving singularly perturbed one-dimensional non-linear parabolic problems. The equation converted to the nonlinear ordinary differential equation by discretization first in time then subsequently in each time level we ...
Jalil Rashidinia, Ali Barati
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Journal of Computational and Applied Mathematics, 2005 In this paper we consider a Sinc-collocation method for the two-point boundary value problem of fourth-order ordinary differential equation incorporated with the double exponential transformation (abbreviated as the DE transformation).
Masatake Mori, Masaaki Sugihara
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Application of Sinc-collocation method for solving a class of nonlinear Fredholm integral equations
Computers & Mathematics with Applications, 2011 In this paper, the numerical solution of nonlinear Fredholm integral equations of the second kind is considered by two methods. The methods are developed by means of the Sinc approximation with the single exponential (SE) and double exponential (DE ...
Maleknejad, K. +3 more
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