Numerical Solution of Multiple Nonlinear Volterra Integral Equations

Details Numerical Solution of Multiple Nonlinear Volterra Integral Equations Numerical Solution of Multiple Nonlinear Volterra Integral Equations

2008-09-18

arxiv.org/abs/0809.3049v2

Mathematics

Numerical Analysis

29 pages

Scientific paper

We analyze a discretization method for solving nonlinear integral equations
that contain multiple integrals. These equations include integral equations
with a Volterra series, instead of a single integral term, on one side of the
equation. We prove existence and uniqueness of solutions, and convergence and
estimates of the order of convergence for the numerical methods of solution.

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