Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 14 (2019), 261 -- 275

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This work is licensed under a Creative Commons Attribution 4.0 International License.

OPERATOR SPLITTING METHODS FOR COMPUTATION OF EIGENVALUES OF REGULAR STURM-LIOUVILLE PROBLEMS

İsmail Güzel, Meltem Adıyaman, Sennur Somalı

Abstract. The purpose of this paper is to compute the highest eigenvalues of regular Sturm-Liouville problems with Dirichlet boundary conditions using symmetrical weighted sequential splitting method. The accuracy of the higher eigenvalues of the problem is demonstrated by some classical examples.

2010 Mathematics Subject Classification: 65L15; 34L16;
Keywords: Sturm-Liouville Problem; Operator Splitting Method; Eigenvalues.

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İsmail Güzel
Dokuz Eylul University, The Graduate school of Natural and Applied Science,
İzmir, Turkey.
e-mail:ismailgzel@gmail.com

Meltem Adıyaman
Dokuz Eylul University, Faculty of Science, Department of Mathematics,
İzmir, Turkey.
e-mail: meltem.evrenosoglu@deu.edu.tr

Sennur Somalı
Dokuz Eylul University, Faculty of Science, Department of Mathematics,
İzmir, Turkey.
e-mail: sennur.somali@deu.edu.tr

http://www.utgjiu.ro/math/sma