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  • 标题:A Fitted Mesh Cubic Spline in Tension Method for Singularly Perturbed Problems with Two Parameters
  • 本地全文:下载
  • 作者:Tariku Birabasa Mekonnen ; Gemechis File Duressa
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2022
  • 卷号:2022
  • DOI:10.1155/2022/5410754
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A numerical treatment via a difference scheme constructed by the Crank–Nicolson scheme for the time derivative and cubic spline in tension for the spatial derivatives on a layer resolving nonuniform Bakhvalov-type mesh for a singularly perturbed unsteady-state initial-boundary-value problem with two small parameters is presented. Error analysis of the constructed scheme is discussed and shown to be parameter-uniformly convergent with second-order convergence. Numerical experimentation is taken to confirm the theoretical findings.
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