ACCELERATION TECHNIQUES BY POST-PROCESSING OF NUMERICAL SOLUTIONS OF THE HAMMERSTEIN EQUATION

作者：Neamprem Khomsan^*; Kaneko Hideaki

来源：Journal of Integral Equations and Applications, 2011, 23(4): 565-595.

DOI：10.1216/JIE-2011-23-4-565

• Post-processing techniques
• extrapolation technique
• Hammerstein equations
• the collocation method
• the Galerkin method

In this paper, several acceleration techniques for numerical solutions of the Hammerstein equation by post-processing are discussed. The paper is motivated by the results reported in papers [7, 8]. Results in these papers are concerned with certain post acceleration techniques for numerical solutions of the second kind Fredholm integral equation. Techniques consist of interpolation post-processing and extrapolation. Post-processed solutions are shown to exhibit better accuracy. We propose in this paper to generalize the results in [7, 8] to nonlinear integral equations of the Hammerstein type. An extrapolation technique for the Galerkin solution of Hammerstein equation is also obtained. This result appears new even in the setting of the linear Fredholm equation.

• 出版日期2011