Approximate Solutions of Nonlinear Volterra-Fredholm Integral Equations
نویسندگان
چکیده
Abstract: We study the numerical solvability of a class of nonlinear Volterra-Fredholm integral equations. We obtain existence and uniqueness results and analyze the linearization methods for these equations under some verifiable conditions on the kernels and nonlinear functions. Also, linearazation methods for initial value problems which have singular points are introduced. The stability estimates, error analysis and convergence analysis is investigated and finally numerical experiments are given, which confirm our theoretical result.
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