Title of article :
Comparison between Sinc approximation and differential transform methods for nonlinear Hammerstein integral equations
Author/Authors :
Kazemi Gelian, Ghasem Department of Mathematics - Islamic Azad University Shirvan Branch, Shirvan, Iran , Ghoochan Shirvan, Rezvan Department of Mathematics - Islamic Azad University Shirvan Branch, Shirvan, Iran , Fariborzi Araghi, Mohammad Ali Department of Mathematics - Islamic Azad University Central Tehran Branch, Tehran, 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 :
Volterra integral equations , Sinc collocation method , double exponential transformation , differential transform method
Journal title :
International Journal of Nonlinear Analysis and Applications
