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  • 标题:Chebyshev Collocation Methods for Volterra Integro-differential Equations of Pantograph Type
  • 本地全文:下载
  • 作者:Tianfu Ji ; Jianhua Hou ; Changqing Yang
  • 期刊名称:Engineering Letters
  • 印刷版ISSN:1816-093X
  • 电子版ISSN:1816-0948
  • 出版年度:2021
  • 卷号:29
  • 期号:3
  • 页码:1123-1130
  • 语种:English
  • 出版社:Newswood Ltd
  • 摘要:A numerical scheme based upon the Chebyshevpolynomials and collocation method is modified and developedto deal with a class of Volterra integro-differential equations.First, we construct the operational matrices of derivative andpantograph. Then these obtained matrices are then utilizedto convert the problems to a system of algebraic equations.Furthermore, we establish a detailed convergence analysis inthe weighted square norm. Finally, three numerical experimentsare implemented and discussed to confirm the applicability andaccuracy of the introduced computational scheme.
  • 关键词:Volterra integro-differential equation; Chebyshev polynomial; Collocation method; Operational matrix
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