Spectrum of dirichlet BDIDE operator

Nurul Akmal Mohamed

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Type :	article
Subject :	Q Science (General)
Main Author :	Nurul Akmal Mohamed
Additional Authors :	Nurul Huda Mohamed
Title :	Spectrum of dirichlet BDIDE operator

Place of Production :	Tanjong Malim
Publisher :	Fakulti Sains dan Matematik
Year of Publication :	2019
Corporate Name :	Universiti Pendidikan Sultan Idris
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Abstract : Universiti Pendidikan Sultan Idris

In this paper, we present the distribution of some maximal eigenvalues that are obtained numerically from the discrete Dirichlet Boundary Domain Integro-Dierential Equation (BDIDE) operator. We also discuss the convergence of the discrete Dirichlet BDIDE that corresponds with the obtained absolute value of the largest eigenvalues of the discrete BDIDE operator. There are three test domains that are considered in this paper, i.e., a square, a circle, and a parallelogram. In our numerical test, the eigenvalues disperse as the power of the variable coecient increases. Not only that, we also note that the dispersion of the eigenvalues corresponds with the characteristic size of the test domains. It enables us to predict the convergence of an iterative method. This is an advantage as it enables the use of an iterative method in solving Dirichlet BDIDE as an alternative to the direct methods

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Mohamed, N. A., Ibrahim, N. F., Yusof, M. R. M., Mohamed, N. F., and Mohamed, N. H. (2016a). Implementation of boundary-domain integrodierential equation for dirichlet bvp with variable coecient. Jurnal Teknologi, 78(6-5):71-77.

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