✍ Scribed by M.I. Berenguer; D. Gámez; A.I. Garralda-Guillem; M. Ruiz Galán; M.C. Serrano Pérez
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Systems of nonlinear Volterra integral equations of the second kind Biorthogonal systems in a Banach space Fixed point Numerical methods a b s t r a c t
With the aid of biorthogonal systems in adequate Banach spaces, the problem of approximating the solution of a system of nonlinear Volterra integral equations of the second kind is turned into a numerical method that allows it to be solved numerically.
📜 SIMILAR VOLUMES
Numerical solutions of Fredholm and Volterra integral equations of the second kind via hybrid functions, are proposed in this paper. Based upon some useful properties of hybrid functions, integration of the cross product, a special product matrix and a related coefficient matrix with optimal order,
In this article, the existence of at least one solution of a nonlinear integral equation of the second kind is proved. The degenerate method is used to obtain a nonlinear algebraic system, where the existence of at least one solution of this system is discussed. Finally, computational results with e