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  • 标题:Normalized Bernstein polynomials in solving space-time fractional diffusion equation
  • 本地全文:下载
  • 作者:A Baseri ; E Babolian ; S Abbasbandy
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:346
  • DOI:10.1186/s13662-017-1401-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain, we offer an algebraic map to make the rational normalized Bernstein functions. This study uses Galerkin and collocation methods. The integrals in the Galerkin method are established with Chebyshev interpolation. We implemented the proposed methods for some examples that are presented to demonstrate the theoretical results. To confirm the accuracy, error analysis is carried out.
  • 关键词:rational normalized Bernstein functions (RNBF) ; normalized Bernstein polynomials (NBP) ; time-space fractional diffusion equation ; error analysis ; collocation and Galerkin methods
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