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Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions

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  • Yeguo Sun

Abstract

We propose long-time convergent numerical integration processes for delay differential equations. We first construct an integration process based on modified Laguerre functions. Then we establish its global convergence in certain weighted Sobolev space. The proposed numerical integration processes can also be used for systems of delay differential equations. We also developed a technique for refinement of modified Laguerre-Radau interpolations. Lastly, numerical results demonstrate the spectral accuracy of the proposed method and coincide well with analysis.

Suggested Citation

  • Yeguo Sun, 2012. "Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, September.
    • Handle: RePEc:hin:jnljam:978729
    DOI: 10.1155/2012/978729
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