Results 31 to 40 of about 11,694 (172)

A kind of adaptive variable stepsize embedded Runge–Kutta pairs coupled with the Sinc collocation method for solving the KdV equation

open access: yesResults in Applied Mathematics
For 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
doaj   +2 more sources

Numerical study of Fisher's reaction–diffusion equation by the Sinc collocation method

open access: yesJournal of Computational and Applied Mathematics, 2001
Fisher's equation, which describes a balance between linear diffusion and nonlinear reaction or multiplication, is studied numerically by the Sinc collocation method.
Kamel Al-Khaled, Al-Khaled, Kamel
core   +2 more sources

Sinc-Integral method to solve the linear Schrodinger equation [PDF]

open access: yesMathematics 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
doaj   +1 more source

Convergence analysis of the sinc collocation method for integro-differential equations system [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic ...
Mohammad Zarebnia
doaj   +2 more sources

A sinc-collocation method for initial value problems [PDF]

open access: yesMathematics 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
openaire   +1 more source

Numerical solution of the system of second-order integro-differential equations using non-classical double sinc method

open access: yesResults 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
doaj   +1 more source

The stability analysis and numerical simulation based on Sinc Legendre collocation method for solving a fractional epidemiological model of the Ebola virus

open access: yesPartial 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
doaj   +1 more source

DE Sinc-Collocation Method for Solving a Class of Second-Order Nonlinear BVPs [PDF]

open access: yesMathematics 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
doaj   +1 more source

Two Reliable Computational Techniques for Solving the MRLW Equation

open access: yesAxioms, 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
doaj   +1 more source

Numerical solutions of Schrödinger wave equation and Transport equation through Sinc collocation method

open access: yes, 2021
This study carries the novel applications of the Sinc collocation method to investigate the numerical computing paradigm of Schrödinger wave equation and Transport equation as a great level of accuracy and precision.
Saeed T.   +6 more
core   +1 more source

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