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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:281

Article

Ma, Junjie¹  Fang, Chunhua¹  Xiang, Shuhuang¹ 

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

关键词: Filon method;    Volterra integral equation;    Asymptotic order;    Highly oscillatory;   

DOI  :  10.1016/j.cam.2014.12.010

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free