Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay
نویسندگان
چکیده
This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra equations(VIEs) with constant delay. Regularity, smoothing properties uniqueness solution this are obtaied by using theorems which give relevant conditions related to VIEs delays. 
 A numerical collocation algorithm on basis piecewise polynomial is designed global convergence proposed method established. Some typical experiments also performed which
 confirm our theoretical result.
 result.
منابع مشابه
Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method
متن کامل
HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
In this work, we will compare two approximation method based on hybrid Legendre andBlock-Pulse functions and a computational method for solving nonlinear Fredholm-Volterraintegral equations of the second kind which is based on replacement of the unknown functionby truncated series of well known Block-Pulse functions (BPfs) expansion
متن کاملNumerical solution of the system of Volterra integral equations of the first kind
This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2023
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1055681