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

作者：Lotfi Taher; Rashidi Mehdi^*; Mahdiani Katauoun

来源：Numerical Algorithms, 2016, 73(2): 391-406.

DOI：10.1007/s11075-016-0100-4

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

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.

• 出版日期2016-10