Using Newton basis functions for solving diffusion equation with nonlocal boundary condition
type: Item
instance of: scholarly article
title: Using Newton basis functions for solving diffusion equation with nonlocal boundary condition
zbMATH Open document ID: 1395.65101
author: Y. Fadaei
author: M. Mohseni Moghadam
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-04-12T00:00:00Z
review text: The authors are concerned with numerical approximation of diffusion equations featuring nonlocal boundary conditions. A meshless method based on spatial trial spaces spanned by the Newton basis functions is employed. The time-dependent differential equation is discretized in space by the collocation method based on Newton basis functions as trial functions and it is converted to a system of ordinary differential equations in time. Stability of the scheme is also discussed. Numerical experiments are included in order to illustrate the theoretical findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F25
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 6859011
zbMATH Keywords: Newton basis functions
zbMATH Keywords: collocation method
zbMATH Keywords: method of lines
zbMATH Keywords: diffusion equation
zbMATH Keywords: nonlocal boundary condition
MaRDI profile type: Publication
full work available at URL: s40324-017-0123-3
OpenAlex ID: W2606131120
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DOI: 10.1007/S40324-017-0123-3
description: scientific article; zbMATH DE number 6859011