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Adomian Decomposition Method for Computing Eigen-Values of Singular Sturm–Liouville Problems

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Abstract

In this paper, we present an efficient numerical algorithm based on Adomian decomposition method for the approximate solution of linear and non-linear singular Sturm–Liouville eigen-value problems. A symbolic implementation code of Adomian decomposition method in Mathematica 6.0 is also mentioned for singular Sturm–Liouville eigen-value problems. Numerical results show that the proposed algorithm is simple, however powerful and effective.

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Authors and Affiliations

  1. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, 211004, U.P., India

    Neelima Singh & Manoj Kumar

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  1. Neelima Singh
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  2. Manoj Kumar
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Correspondence to Neelima Singh.

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Singh, N., Kumar, M. Adomian Decomposition Method for Computing Eigen-Values of Singular Sturm–Liouville Problems. Natl. Acad. Sci. Lett. 36, 311–318 (2013). https://doi.org/10.1007/s40009-013-0127-1

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  • DOI: https://doi.org/10.1007/s40009-013-0127-1

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