High order exponentially fitted methods for Volterra integral equations with periodic solution

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• 作者：A. Cardone ; ^{ancardone@unisa.it} ; R. D'Ambrosio ^{rdambrosio@unisa.it} ; B. Paternoster ^{beapat@unisa.it}
• 关键词：Volterra integral equations ; Exponential fitting ; Periodic ; Direct quadrature
• 刊名：Applied Numerical Mathematics
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：114
• 期：Complete
• 页码：18-29
• 全文大小：401 K
• 卷排序：114

文摘

The present paper illustrates the construction of direct quadrature methods of arbitrary order for Volterra integral equations with periodic solution. The coefficients of these methods depend on the parameters of the problem, following the exponential fitting theory. The convergence of these methods is analyzed, and some numerical experiments are illustrated to confirm theoretical expectations and for comparison with other existing methods.