Abstract
This work is to analyze a Legendre spectral collocation approximation for Volterra delay-integro-differential equations. An error analysis is provided for the proposed methods. Moreover, it is proved that the errors of approximate solutions decay exponentially. The numerical results verify our theoretical analysis.
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The authors would like to thank the anonymous referees for their valuable comments which helped us to improve the present paper.
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This work was supported by the National Natural Science Foundation of China (11271102, 11101109), the Fundamental Research Funds for the Central Universities and Program for Innovation Research of Science in Harbin Institute of Technology (A201405).
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Zhao, J., Cao, Y. & Xu, Y. Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations. J Sci Comput 67, 1110–1133 (2016). https://doi.org/10.1007/s10915-015-0121-5
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DOI: https://doi.org/10.1007/s10915-015-0121-5