Generalized Jacobi spectral-Galerkin method for non- linear Volterra integral equations with weakly singu- lar kernels
نویسندگان
چکیده
We propose a generalized Jacobi spectral-Galerkin method for the nonlinear Volterra integral equations (VIEs) with weakly singular kernels. We establish the existence and uniqueness of the numerical solution, and characterize the convergence of the proposed method under reasonable assumptions on the nonlinearity. We also present numerical results which are consistent with the theoretical predictions.
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