The numerical solution of first kind integral equations
نویسندگان
چکیده
منابع مشابه
Numerical solution of the system of Volterra integral equations of the first kind
This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...
متن کاملNumerical solution of two-dimensional integral equations of the first kind by multi-step methods
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At t...
متن کاملnumerical solution of the system of volterra integral equations of the first kind
this paper presents a comparison between variational iteration method (vim) and modfied variational iteration method (mvim) for approximate solution a system of volterra integral equation of the first kind. we convert a system of volterra integral equations to a system of volterra integro-di®erential equations that use vim and mvim to approximate solution of this system and hence obtain an appr...
متن کاملnumerical solution of two-dimensional integral equations of the first kind by multi-step methods
in this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear volterra integral equations (2d-nvies) of the first kind. here, we convert a 2d-nvie of the first kind to a one-dimensional linear vie of the first kind and then we solve the resulted equation numerically by multi-step methods. we also verify convergence and error analysis of the method. at t...
متن کاملOn Numerical Solution of Integral Equation of the First Kind
Many problems of computational electromagnetics [1,2], stationary heat transfer [3,4] and elasticity theory [5] can be naturally reduced to integral equations of the first kind (IEFK) with a weak singularity. So we shall name the equations with a logarithmic peculiarity in one-dimensional case and equation with a peculiarity of an aspect 1 0 rMM in two-dimensional case, where rMM 0 is distance ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1989
ISSN: 0377-0427
DOI: 10.1016/0377-0427(89)90023-x