COMPUTING THE EIGENVALUES OF FOURTH ORDER STURM-LIOUVILLE PROBLEMS WITH LIE GROUP METHOD

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MIRZAEI H.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2017 | Volume:7 | Issue:1 Page(s): 1-12

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Title

COMPUTING THE EIGENVALUES OF FOURTH ORDER STURM-LIOUVILLE PROBLEMS WITH LIE GROUP METHOD

Author(s)

MIRZAEI H. | Issue Writer Certificate

Keywords

LIE GROUP METHODQ1

FOURTH ORDER STURM-LIOUVILLE PROBLEMQ1

MAG-NUS EXPANSIONQ1

Abstract

In this paper, we formulate the FOURTH ORDER STURM-LIOUVILLE PROBLEM (FSLP) as a Lie group matrix differential equation. By solving this matrix differential equation by Lie group Magnus expansion, we compute the eigenvalues of the FSLP. The Magnus expansion is an infinite series of multiple integrals of Lie brackets. The approximation is, in fact, the truncation of Magnus expansion and a Gaussian quadrature are used to evaluate the integrals. Finally, some numerical examples are given.

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APA: Copy

MIRZAEI, H.. (2017). COMPUTING THE EIGENVALUES OF FOURTH ORDER STURM-LIOUVILLE PROBLEMS WITH LIE GROUP METHOD. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 7(1), 1-12. SID. https://sid.ir/paper/260858/en

Vancouver: Copy

MIRZAEI H.. COMPUTING THE EIGENVALUES OF FOURTH ORDER STURM-LIOUVILLE PROBLEMS WITH LIE GROUP METHOD. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2017;7(1):1-12. Available from: https://sid.ir/paper/260858/en

IEEE: Copy

H. MIRZAEI, “COMPUTING THE EIGENVALUES OF FOURTH ORDER STURM-LIOUVILLE PROBLEMS WITH LIE GROUP METHOD,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 7, no. 1, pp. 1–12, 2017, [Online]. Available: https://sid.ir/paper/260858/en

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