International Journal of Nonlinear Analysis and Applications

Comparison between Sinc approximation and differential transform methods for nonlinear Hammerstein integral equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran

2 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Zip code 14676-86831, Iran

Abstract

Here, the comparison between Sinc method in combination with double exponential transformations (DE) and approximation by means of differential transform method (DTM) for nonlinear Hammerstein integral equations is considered. Convergence analysis is presented. Detection of effectiveness from various aspects such as run time, different norms, condition number are highlighted and plotted graphically. Results of two schemes are practically well, but in manner of separable kernel, DTM solution is more accurate and so fast.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 1291-1301
  • Receive Date: 27 February 2020
  • Revise Date: 17 April 2020
  • Accept Date: 20 April 2020