An Innovative Eigenvalue Problem Solver by Using Adomian Decomposition Approach

Jung Chang Hsu; Shao Shu Chu

doi:10.4028/www.scientific.net/AMR.433-440.6742

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440An Innovative Eigenvalue Problem Solver by Using...

An Innovative Eigenvalue Problem Solver by Using Adomian Decomposition Approach

Abstract:

The paper deals with eigenvalues and normalized eigenfunctions for a Strum-Liouville eigenvalue problem. The technique we have used is based on applying a Adomian decomposition method (ADM) to our eigenvalue problems. Doing some simple mathematical operations on the method, we can obtain ith eigenvalues and eigenfunctions one at a time. The computed results agree well with those analytical results given in the literature.

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Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

6742-6750

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.6742

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Online since:

January 2012

Authors:

Jung Chang Hsu, Shao Shu Chu

Keywords:

Adomian Decomposition Method, Eigenfunctions, Eigenvalue, Sturm-Liouville Problem

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References

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