Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations

• Junjie Ma ^[1] ; Chunhua Fang ^[1] ; Shuhuang Xiang ^[1]
  1. [1] Central South University

     Central South University

     China

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 281, Nº 1 (June 2015), 2015, págs. 120-125
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.12.010
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• Resumen

  • The direct Filon method provides efficient approximation for solutions of Volterra integral equations with highly oscillatory kernels. In this paper, we study the rate of convergence of this method for a class of equations with trigonometric kernels. The asymptotic order is developed by examining the property of the solution. Numerical experiments are included to verify the given order.