Introducing approaches for applying innovative error analysis and convergence techniques to the 2nd-kind fuzzy nonlinear Volterra integral formula. This method is used to examine convergence in the solution of the 2nd-kind of fuzzy nonlinear Volterra integral formula using the variational iteration method. A problem was also resolved a few numerical instances using our original fuzzy equation. The supplied methods were thoroughly reviewed and compared them to the currently used ways using the provided illustrative example, which simply then applied to all of the programming in Maple version (22). The basic goal of Variational Iteration is to estimate the 2nd-kind fuzzy Nonliear Volterra integral equation’sof solution by employing an iteration algorithm that uses a lagrange multiplier. It is possible to estimate the lagrange multiplier by using variational theory. The approach is particularly efficient and practical for solving nonliear fuzzy integral equations, as demonstrated by comparison with the exact solution.

Topics
Integral equations, Mathematical optimization, Iteration method, Review
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