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A Solution for Two-Dimensional Fredholm Integral Equations of the Second Kind with Periodic, Semiperiodic, or Nonperiodic Kernels

机译：具有周期，半周期或非周期核的第二类二维Fredholm积分方程的解

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摘要

A numerical scheme for solving two dimensional Fredholm integral equations of the second kind is developed. The proof of the convergence of the numerical scheme is shown for three cases: the case of periodic kernels, the case of semiperiodic kernels, and the case of nonperiodic kernels. Applications to the incompressible, stationary Navier-Stokes problem are of primary interest.

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作者
Gabrielsen, R. E.; Uenal, A.;
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年度 1981
页码 p.1-31
总页数 31
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Convergence; Flow equations; Fredholm equations; Kernel functions; Algorithms; Banach space; Incompressible flow; Periodic functions; Two dimensional flow;

机译：收敛;流动方程; Fredholm方程;核函数;算法; Banach空间;不可压缩流;周期函数;二维流;

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专利

1. A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis [J] . Babaaghaie A., Maleknejad K. Journal of Computational and Applied Mathematics . 2018,第期

机译：基于伯恩斯坦多项式及其收敛性分析的最常规内核二维非线性Fredholm积分方程数值解的新方法及其收敛性分析
2. Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations [J] . E. A. Galperin, E. J. Kansa, A. Makroglou, Journal of Computational and Applied Mathematics . 2000,第1a2期

机译：具有连续和弱奇异核的第二类Volterra积分方程数值解的变量变换; Fredholm积分方程的扩展
3. Numerical solution of the linear two-dimensional Fredholm integral equations of the second kind via two-dimensional triangular orthogonal functions [J] . Farshid Mirzaee, Sima Piroozfar Journal of King Saud University . 2010,第4期

机译：第二类线性二维弗雷德霍尔姆积分方程的二维三角正交函数数值解
4. Numerical solution of stochastic mixed Volterra-Fredholm integral equations driven by space-time Brownian motion via two-dimensional block pulse functions [C] . Farkhondeh Hosseini Shekarabi, Tayebeh Damercheli International Conference on Analysis and Applied Mathematics . 2018

机译：天空时间褐色运动通过二维块脉冲函数驱动的随机混合Volterra-Fredholm积分方程的数值解
5. THE NUMERICAL SOLUTION OF LINEAR FIRST KIND FREDHOLM INTEGRAL EQUATIONS USING AN ITERATIVE METHOD [D] . SCHMIDT, ROBERT CRAIG 1987

机译：线性一类Fredholm积分方程的迭代法数值解
6. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Numerical solution of the linear two-dimensional Fredholm integral equations of the second kind via two-dimensional triangular orthogonal functions [O] . Mirzaee Farshid, Piroozfar Sima 2010

机译：第二类线性二维弗雷德霍尔姆积分方程的二维三角正交函数数值解

A Solution for Two-Dimensional Fredholm Integral Equations of the Second Kind with Periodic, Semiperiodic, or Nonperiodic Kernels

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