Integro-differential models: A program code
type: Item
instance of: scholarly article
zbMATH Open document ID: 0986.65144
publication date: 2002-05-28T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 65Y15
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1606302
zbMATH Keywords: singular integro-differential equation
zbMATH Keywords: Cauchy singular kernel
zbMATH Keywords: weakly singular perturbation kernels
zbMATH Keywords: Matlab program code
zbMATH Keywords: Prandtl equation
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
author: F. Caliò
author: E. Marchetti
describes a project that uses: Matlab
MaRDI profile type: Publication
Recommended article: Q4302094
Recommended article: AN INTEGRATION SCHEME FOR REACTION–DIFFUSION MODELS
Recommended article: Q4695836
Recommended article: Computational Science - ICCS 2004
Recommended article: Integral equation models for continuous dynamical systems
Recommended article: Differential models and modelling
Recommended article: Q3692743
Recommended article: Q4899353
Recommended article: Symbolic-numeric methods for nonlinear integro-differential modeling
Recommended article: Q4820384
title: Integro-differential models: A program code
published in: Annali dell'Università di Ferrara. Nuova Serie. Sezione VII
review text: Numerical methods for solving integro-differential equations with Cauchy singular kernel and weakly singular perturbation kernels are proposed. These equations are generalizations of the general monoplane equation (Prandtl equation). A numerical scheme is constructed, three convergence conditions and numerical results are presented. Some parts of the ``flexible and reliable'' Matlab program code are given. NEWLINENEWLINENEWLINEReviewer's remark: Descriptions and theoretical grounds of various numerical methods for solving singular integro-differential equations are contained in the book of \textit{B. G. Gabdulkhaev} [Direct methods for solving the singular integral equations of the first kind. Kazan (1994) (in Russian)].
reviewed by: Nikolai Pleshchinskii
description: scientific article; zbMATH DE number 1606302