Results 11 to 20 of about 284 (170)

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
doaj   +3 more sources

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
openaire   +5 more sources

Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method

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, Keivan Mohammadi, Amjad Alipanah   +2 more
doaj   +2 more sources

Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method

Sultan Qaboos University Journal for Science, 2015
In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
doaj   +3 more sources

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, Mehdi Dehghan 0002, Ali Pirkhedri   +2 more
openaire   +2 more sources

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.
openaire   +3 more sources

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, Reza Zolfaghari, J. Damirchi   +2 more
openaire   +2 more sources

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
doaj   +2 more sources

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
openaire   +2 more sources

Sinc Collocation Method to Simulate the Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

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
doaj   +2 more sources