A Product Integration type Method for solving Nonlinear Integral Equations in L
arXiv:1602.021321.24 citationsh-index: 11
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For researchers working on numerical solutions of integral equations, this is an incremental extension of an existing method to a more general function space.
The paper extends the product integration method to solve nonlinear Fredholm integral equations with weakly singular kernels in L1 space, proving convergence and providing error estimates.
This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). As numerical method, we extend the product integration scheme from C 0 ([a, b], C) to L 1 ([a, b], C).