Numerical Spectral Computation for Matrix Boundary-Value Eigenproblems Using Operational Methods

Authors

  • Ahmed Hamza Jassim

Keywords:

Spectral methods, Operational matrix, Boundary-value eigenproblems, Matrix differential systems, Numerical analysis, Convergence analysis

Abstract

In this paper, we propose a spectral operational matrix method for solving the numerical solutions of matrix boundaryvalue eigenproblems. In the current paper, we present a hybrid strategy combining Legendre polynomial spectral expansions along with an operational matrix methodology

References

. L. Aceto, P. Ghelardoni, and M. Marletta, “Numerical computation of eigenvalues in spectral gaps of SturmLiouville operators,” Journal of Computational and Applied Mathematics, vol. 189, no. 1–2, pp. 14–32, 2006.

. V. Ledoux, M. Van Daele, and G. Vanden Berghe, “Automatic computation of quantum-mechanical bound states and wavefunctions,” Computer Physics Communications, vol. 184, no. 3, pp. 623–639, 2013.

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Published

2026-03-08

How to Cite

Ahmed Hamza Jassim. (2026). Numerical Spectral Computation for Matrix Boundary-Value Eigenproblems Using Operational Methods . Journal of Computational Analysis and Applications (JoCAAA), 35(3), 46–55. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/5071

Issue

Vol. 35 No. 3 (2026): JOCAAA

Section

Articles

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Creative Commons License

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