Results 21 to 30 of about 24,884 (178)
The Sinc-collocation method for solving the Thomas–Fermi equation
Journal of Computational and Applied Mathematics, 2013 AbstractA 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. This method is utilized to reduce the nonlinear ordinary differential equation to some algebraic equations.
K. Parand 0001 +2 more
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Solution of a Volterra integral equation by the Sinc-collocation method
Journal of Computational and Applied Mathematics, 2007 The authors investigate the following problems: (1) a collocation procedure for a linear Volterra integral equation of the second kind and (2) its approximate solutions using the sinc basis functions based on the conformal maps of analytic functions.
Rashidinia, J., Zarebnia, M.
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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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Results in Applied MathematicsFor solving the KdV equation, a novel numerical method with high order accuracy in both space and time is proposed. In the spatial direction, Sinc collocation method, which has the property of exponential convergence, is adopted.
Cheng Chen, Wenting Shao
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Sinc-collocation method with orthogonalization for singular Poisson-like problems [PDF]
Mathematics of Computation, 1994 This paper uses the Sine-collocation method to solve singular Poisson-like problems (a first- or higher-order partial derivative of the exact solution is unbounded on the boundary). A linear system is obtained which is the same as that obtained by using the Sinc-Galerkin method. With a smart choice of the stepsize and the number of
Guang Yan Yin
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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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Application of Sinc-collocation method for solving an inverse problem
Journal of Computational and Applied Mathematics, 2009 The authors consider the inverse problem of determining functions \(u\) and \(p\) satisfying the parabolic equation \(u_t= u_{xx}+ p(t)u+ q(x,t)\), \(0 < x < 1 ...
Abdollah Shidfar +2 more
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Application of Sinc-collocation method for solving a class of nonlinear Fredholm integral equations
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosrow Maleknejad, K. Nedaiasl
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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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Advances in Difference Equations, 2017 We provide the numerical solution of a Volterra integro-differential equation of parabolic type with memory term subject to initial boundary value conditions.
Atefeh Fahim +3 more
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