Solution of Integral Equations Using Local Splines of the Second Order-Reference-Cited by-同舟云学术

Solution of Integral Equations Using Local Splines of the Second Order

Published:2022-12-31 Issue: Volume:17 Page:258-262
ISSN:2224-3429
Container-title:WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
language:en
Short-container-title:

Author:

Burova I. G.¹,Alcybeev G. O.¹

Affiliation:

1. Dept. of Computational Mathematics St. Petersburg State University St. Petersburg, RUSSIA

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

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference12 articles.

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