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Volume 29, Issue 1
Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

Ishtiaq Ali

DOI: 10.4208/jcm.1006-m3150

J. Comp. Math., 29 (2011), pp. 49-60.

Published online: 2011-02

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  • Abstract

We describe the application of the spectral method to delay integro-differential equations with proportional delays. It is shown that the resulting numerical solutions exhibit the spectral convergence order. Extensions to equations with more general (nonlinear) vanishing delays are also discussed.

  • Keywords

Delay integro-differential equations, Proportional delays, Spectral methods, Convergence analysis.

  • AMS Subject Headings

65R20, 34K28.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-49, author = {Ishtiaq Ali}, title = {Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {1}, pages = {49--60}, abstract = {

We describe the application of the spectral method to delay integro-differential equations with proportional delays. It is shown that the resulting numerical solutions exhibit the spectral convergence order. Extensions to equations with more general (nonlinear) vanishing delays are also discussed.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1006-m3150}, url = {http://global-sci.org/intro/article_detail/jcm/8463.html} }
TY - JOUR T1 - Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays AU - Ishtiaq Ali JO - Journal of Computational Mathematics VL - 1 SP - 49 EP - 60 PY - 2011 DA - 2011/02 SN - 29 DO - http://doi.org/10.4208/jcm.1006-m3150 UR - https://global-sci.org/intro/article_detail/jcm/8463.html KW - Delay integro-differential equations, Proportional delays, Spectral methods, Convergence analysis. AB -

We describe the application of the spectral method to delay integro-differential equations with proportional delays. It is shown that the resulting numerical solutions exhibit the spectral convergence order. Extensions to equations with more general (nonlinear) vanishing delays are also discussed.

Ishtiaq Ali. (2011). Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays. Journal of Computational Mathematics. 29 (1). 49-60. doi:10.4208/jcm.1006-m3150
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