On spectral methods for Volterra-type integro-differential equations

• Autores: Ying-Jun Jiang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 333-340
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.12.001
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• Resumen

  • This paper considers the spectral methods for a Volterra-type integro-differential equation. Firstly, the Volterra-type integro-differential equation is equivalently restated as two integral equations of the second kind. Secondly, a Legendre-collocation method is used to solve them. Then the error analysis is conducted based on the L8-norm. In addition, numerical results are presented to confirm our analysis.