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  • 标题:Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition
  • 本地全文:下载
  • 作者:Habtamu Garoma Debela ; Gemechis File Duressa
  • 期刊名称:International Journal of Differential Equations
  • 印刷版ISSN:1687-9643
  • 电子版ISSN:1687-9651
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-8
  • DOI:10.1155/2020/9268181
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider a class of singularly perturbed differential equations of convection diffusion type with integral boundary condition. An accelerated uniformly convergent numerical method is constructed via exponentially fitted operator method using Richardson extrapolation techniques and numerical integration methods to solve the problem. The integral boundary condition is treated using numerical integration techniques. Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical example considered. The method is shown to be ε -uniformly convergent.
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