|
|
|
|
successive approximations method for solving 2d nonlinear singular fredholm integral equations
|
|
|
|
|
|
|
|
نویسنده
|
kazemi manochehr ,doostdar mohammad reza ,ghorbani morteza
|
|
منبع
|
journal of mathematical extension - 2023 - دوره : 17 - شماره : 1 - صفحه:1 -21
|
|
چکیده
|
In the present paper, we propose a numerical method based on the combination of the fixed point method and quadrature formula for solving two-dimensional nonlinear fredholm integral equations of the second kind. using uniform and partial modulus of continuity, the error estimation is given. also, the numerical stability with respect to the choice of the first iteration is proved. moreover, the accuracy of the method and the correctness of the theoretical results are shown by some examples.
|
|
کلیدواژه
|
integral equations ,iterative method ,modulus of continuity ,midpoint formula
|
|
آدرس
|
islamic azad university, ashtian branch, department of mathematics, iran, islamic azad university, zarandieh branch, department of mathematics, iran, islamic azad university, shahr-e-qods branch, faculty of science, department of mathematics, iran
|
|
پست الکترونیکی
|
morteza.ghorbani77@qodsiau.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|