Morgan-Voyce Polynomial Approach for Ordinary Integro-Differential Equations Including Variable Bounds
نویسندگان
چکیده
An effective matrix method to solve the ordinary linear integro-differential equations with variable coefficients and delays under initial conditions is offered in this article. Our consists of determining approximate solution form Morgan-Voyce Taylor polynomials their derivatives collocation points. Then, we reconstruct problem as a system system. Also, some examples are given show validity residual error analysis investigated.
منابع مشابه
On the Morgan-voyce Polynomial Generalization of the First Kind
111 recent years, a number of papers appeared on the subject of generalization of the MorganVoyce (Mr) polynomials (see5 e.g., Andre-Jeannin [l]-[3] and Horadam [4]-[7]). The richness of results in these works prompted our Investigation on this subject. We further generalized the Mpolynomials in a particular way and obtained some new relations by means of the line-sequential formalism developed...
متن کاملBounds for Solutions of Ordinary Differential Equations
1. An upper bound for the norm of a system of ordinary differential equations can be obtained by comparison with a related first order differential equation, [4; 8]. This first order equation depends on an upper bound for the norm of the right side of the system. Recently, it has been pointed out [l; 6] that this same upper bound also gives a lower bound for the norm of the solution in terms of...
متن کاملPolynomial Solutions and Annihilators of Ordinary Integro-Differential Operators ?
In this paper, we study algorithmic aspects of linear ordinary integro-differential operators with polynomial coefficients. Even though this algebra is not noetherian and has zero divisors, Bavula recently proved that it is coherent, which allows one to develop an algebraic systems theory. For an algorithmic approach to linear systems theory of integro-differential equations with boundary condi...
متن کاملComputing with Polynomial Ordinary Differential Equations
In 1941, Claude Shannon introduced the General Purpose Analog Computer (GPAC) as a mathematical model of DiUerential Analysers, that is to say as a model of continuoustime analog (mechanical, and later on electronic) machines of that time. Following Shannon’s arguments, functions generated by the GPAC must satisfy a polynomial diUerential algebraic equation (DAE). As it is known that some compu...
متن کاملNewton Polygons of Polynomial Ordinary Differential Equations
In this paper we show some properties of the Newton polygon of a polynomial ordinary differential equation. We give the relation between the Newton polygons of a differential polynomial and its partial derivatives. Newton polygons of evaluations of differential polynomials are also described.
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: 2021
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.569245