publication . Article . 2019

The Piecewise Collocation Solution Of Second Kind Fredholm Integral Equations By Using Quarter-Sweep Iteration

N. S. Mohamad; Jumat Sulaiman;
Open Access
  • Published: 01 Nov 2019 Journal: Journal of Physics: Conference Series, volume 1,358, page 12,052 (issn: 1742-6588, eissn: 1742-6596, Copyright policy)
  • Publisher: IOP Publishing
Abstract
Abstract In this paper, a piecewise collocation discretization scheme based on the piecewise constant approximation with the concept of quarter-sweep Jacobi (QSJ) iteration is discussed in solving the linear Fredholm integral equations of second kind. By considering the piecewise approximation equations, the generated linear system has been constructed with its large scale coefficient matrix. The purpose of this quarter-sweep iteration concept is to reduce the computational complexity of the linear system. For the purpose of comparison, the formulation and implementation of full-sweep Jacobi (FSJ), half-sweep Jacobi (HSJ) and QSJ iterative methods are also included. The results of these three proposed methods showed that the QSJ method is better than others Jacobi iteration family.
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Subjects
ACM Computing Classification System: MathematicsofComputing_NUMERICALANALYSIS
free text keywords: Computer Science Applications, History, Education, Mathematics, Applied mathematics, Integral equation, Collocation, Piecewise, Quarter (United States coin)
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