Results 81 to 90 of about 11,694 (172)

A numerical algorithm based on Jacobi polynomials for FIDEs with error estimation [PDF]

Iranian Journal of Numerical Analysis and Optimization
This study aims to address a specific class of mathematical problems known as fractional integro-differential equations. These equations are used to model various phenomena„ including heat conduction in materials with memory, damping laws, diffusion ...
K. Sadri, D. Amilo, E. Hincal
doaj   +1 more source

Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind

Journal of Computational and Applied Mathematics, 2010
The authors propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels as \[ \lambda u(t)- \int^b_a|t-s|^{p-1} k(t,s)u(s)\,ds = g(t), \quad a\leq t\leq b, \] where \(\lambda\neq 0 ...
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara   +2 more
openaire   +2 more sources

Numerical solution of integro differential equations based on double exponential transformation in the sinc-collocation method

, 2012
In this paper, we consider double exponential transformations to solve integro differential equations by Sinc collocation method. Numerical examples illustrate the validity and applicability of the method.
Fazril Zayadi
core  

Sinc collocation linked with finite differences for Korteweg-de Vries Fractional Equation

, 2020
A novel numerical method is proposed for Korteweg-de Vries Fractional Equation. The fractional derivatives are described based on the Caputo sense. We construct the solution using different approach, that is based on using collocation techniques.
Kamel Al-Khaled, Al-Khaled, Kamel
core   +1 more source

An Application Of The Sinc-Collocation Method To A Three-Dimensional Oceanography Model

, 2013
In this paper, we explore the applicability of the Sinc- Collocation method to a three-dimensional (3D) oceanography model. The model describes a wind-driven current with depth-dependent eddy viscosity in the complex-velocity system. In general, the Sinc-based methods excel over other traditional numerical methods due to their exponentially decaying ...
Y. Mohseniahouei, K. Abdella, M. Pollanen   +2 more
openaire   +2 more sources

A new type of radial basis functions for problems governed by partial differential equations. [PDF]

PLoS One, 2023
Liu J, Wang F, Nadeem S.
europepmc   +1 more source

A new implicit high-order iterative scheme for the numerical simulation of the two-dimensional time fractional Cable equation. [PDF]

Sci Rep, 2023
Khan MA, Alias N, Khan I, Salama FM, Eldin SM.   +4 more
europepmc   +1 more source

Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

Bulletin of Computational Applied Mathematics, 2016
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation will be solved by the shifted ...
Esmail Hesameddini, Mehdi Shahbazi
doaj  

Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]

BMC Res Notes, 2023
Reda BT, Bullo TA, Duressa GF.
europepmc   +1 more source

Sinc Methods for Domain Decomposition

, 2008
Sinc basis functions form a desirable basis to use for solving singular problems via domain decomposition. This is because both the Sinc-Galerkin and sinc-collocation-methods converge exponentially, even in the presence of boundary singularities.
Nancy J. Lybeck, Kenneth L. Bowers
core