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Comparison between Sinc approximation and differential transform methods for nonlinear Hammerstein integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 108، دوره 13، شماره 1، خرداد 2022، صفحه 1291-1301 اصل مقاله (377.7 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19923.2111 | ||
| نویسندگان | ||
| Ghasem Kazemi Gelian* 1؛ Rezvan Ghoochan Shirvani1؛ Mohammad Ali Fariborzi Araghi2 | ||
| 1Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran | ||
| 2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Zip code 14676-86831, Iran | ||
| تاریخ دریافت: 08 اسفند 1398، تاریخ بازنگری: 29 فروردین 1399، تاریخ پذیرش: 01 اردیبهشت 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Volterra integral equations؛ Sinc collocation method؛ double exponential transformation؛ differential transform method | ||
| مراجع | ||
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