Discretization of Volterra Integral Equations of the First Kind (II).
H. Brunner (1978)
Numerische Mathematik
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Displaying similar documents to “Convergence Analysis of Discretization Methods for Nonlinear First Kind Volterra Integral Equations.”
Discretization of Volterra Integral Equations of the First Kind (II).
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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
An approximate solution of some Volterra integral equation with a smooth kernel
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The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.