This paper addresses the solution of one-and two-dimensional Volterra integral equations
(VIEs) by means of the spectral collocation method. The novel technique takes advantage of …

Temperature uniformity within a large vertical quenching furnace is the key factor to
determine the properties of aluminum workpieces. The existing temperature control method …

A numerical method is presented in this paper to solve linear Volterra integral equations of
the second kind. In this proposed method, orthogonal Legendre polynomials are employed …

This paper describes a numerical approximation to the solution of Volterra integral
equations of the second kind. This algorithm combines trapezoidal and Simpson rules. We …

We introduce and thoroughly examine a novel approach grounded in B-spline techniques to
address the solution of second-kind nonlinear Volterra integral equations. Our method …

In this paper we use Bernstein polynomials for deriving the modified Simpson's 3/8, and the
composite modified Simpson's 3/8 to solve one dimensional linear Volterra integral …

Volterra type integral equations have diverse applications in scientific and other fields.
Modelling physical phenomena by employing integral equations is not a new concept …

In this paper, a modified algorithm is proposed for solving linear integro-differential
equations of the second kind. The main idea is based on applying Romberg extrapolation …

Error spectrum is a comprehensive metric for evaluation of estimation performance in that it
is an aggregation of many incomprehensive measures. However, error spectrum requires …

摘要将自适应Simpson 算法和Romberg 外推算法相结合, 提出一种新型的自适应SR (Simpson-
Romberg) 算法, 它兼有变步长计算和逐步提高数值积分法收敛阶的优点 …