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Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem

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Publication:1098583
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DOI10.1155/S0161171287000620zbMath0637.65081MaRDI QIDQ1098583

Riaz A. Usmani, Manabu Sakai

Publication date: 1987

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46255


zbMATH Keywords

positive definite matriceseigenvalue problemfinite difference schemesfourth order differential equationNumerical examplesband-matrices


Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)


Related Items

A mini-review of numerical methods for high-order problems† ⋮ A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates ⋮ Comparison of collocation methods for the solution of second order non-linear boundary value problems ⋮ Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems ⋮ Collocation approximation for fourth-order boundary value problems ⋮ On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems



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