A Picard-Type Iterative Scheme for Fredholm Integral Equations of the Second Kind
نویسندگان
چکیده
In this work, we present an application of Newton’s method for solving nonlinear equations in Banach spaces to a particular problem: the approximation inverse operators that appear solution Fredholm integral equations. Therefore, construct iterative with quadratic convergence does not use either derivatives or operators. Consequently, new procedure is especially useful non-homogeneous first kind. We combine technique find separable kernels obtain allows us approach when kernel non-separable.
منابع مشابه
New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9010083