Numerical Algorithms

, Volume 73, Issue 2, pp 391–406 | Cite as

A posteriori analysis: error estimation for the eighth order boundary value problems in reproducing Kernel space

Original Paper


In the previous work (Akram and Rehman Numer. Algor. 62 527–540 2013), Akram and Rehman presented the reproducing kernel method (RKM) for solving various eighth order boundary value problems. However, an effective error estimation for this method has not yet been discussed. This work is devoted to deal with this problem. Some other aspects of the RKM will be considered such as convergence analysis and numerical implementations.


Error estimation Exact solution Approximate solution Gram-Schmidt orthogonal process Reproducing Kernel Searching least value (SLV) method 


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Mathematics, Hamedan BranchIslamic Azad UniversityHamedanIran

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