WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 17, 2022
Solution of Integral Equations Using Local Splines of the Second Order
Authors: ,
Abstract: Splines are an important mathematical tool in Applied and Theoretical Mechanics. Several Problems in Mechanics are modeled with Differential Equations the solution of which demands Finite Elements and Splines. In this paper, we consider the construction of computational schemes for the numerical solution of integral equations of the second kind with a weak singularity. To construct the numerical schemes, local polynomial quadratic spline approximations and second-order nonpolynomial spline approximations are used. The results of the numerical experiments are given. This methodology has many applications in problems in Applied and Theoretical Mechanics
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Keywords: Splines, integral equation of the second kind, weak singularity, local spline, polynomial spline, nonpolynomial spline
Pages: 258-262
DOI: 10.37394/232011.2022.17.31