The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems

DOI10.1016/j.amc.2004.10.020zbMath1082.65557OpenAlexW1986459075MaRDI QIDQ2572767

Basem S. Attili

Publication date: 4 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.10.020

zbMATH Keywords

numerical exampleseigenvaluesAdomian decomposition methodSturm-Liouville two point boundary value problem

Mathematics Subject Classification ID

Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (8)

An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems ⋮ Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems ⋮ Computation of eigenfunctions of nonlinear boundary-value -transmission problems by developing some approximate techniques ⋮ Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ Variational iteration method for Sturm-Liouville differential equations ⋮ A new application of the homotopy analysis method: solving the Sturm-Liouville problems ⋮ On the numerical solution of fractional Sturm–Liouville problems ⋮ Computing eigenelements of boundary value problems with fractional derivatives

Cites Work

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• A review of the decomposition method in applied mathematics
• Computing eigenvalues of singular Sturm-Liouville problems
• A slightly modified Prüfer transformation useful for calculating Sturm- Liouville eigenvalues
• Solving frontier problems of physics: the decomposition method
• Application of differential transformation to eigenvalue problems
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• On solving some eigenvalue problems by using a differential transformation
• A new method for solving singular initial value problems in the second-order ordinary differential equations
• Automatic Solution of the Sturm-Liouville Problem

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