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Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 دی 1403 اصل مقاله (2.53 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60254.2570 | ||
| نویسندگان | ||
| Akram Karimi؛ Khosrow Maleknejad* ؛ Reza Ezzati | ||
| Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. | ||
| چکیده | ||
| This paper tries to provide an attractive framework based on Block-Pulse functions for numerical solution of a system of two-dimensional Volterra integral equations of the second kind. These types of systems are created through the modeling of physics or engineering phenomena. By constructing operational matrices based on Block-Pulse functions and reduction of variables, a simpler algorithm is built. The block-pulse method is affordable because it converts algebraic systems to a matrix system and reduces the amount of computation. Some numerical examples and error analysis which are in detail support the method. | ||
| کلیدواژه‌ها | ||
| Error analysis؛ Two-dimensional Block-Pulse function؛ System of integral equation؛ Operational matrix | ||
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آمار تعداد مشاهده مقاله: 184 تعداد دریافت فایل اصل مقاله: 234 |
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