Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind
| Autor: | Mario Ahues, Paulo B. Vasconcelos, Filomena D. d'Almeida, Rosário Fernandes |
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| Rok vydání: | 2019 |
| Předmět: |
Computation
MathematicsofComputing_NUMERICALANALYSIS Subtraction 010103 numerical & computational mathematics Fredholm integral equation Singular integral 16. Peace & justice 01 natural sciences Quadrature (mathematics) 010101 applied mathematics symbols.namesake Nonlinear system Singularity ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols Applied mathematics 0101 mathematics Approximate solution Mathematics |
| Zdroj: | Integral Methods in Science and Engineering ISBN: 9783030160760 |
| DOI: | 10.1007/978-3-030-16077-7_1 |
| Popis: | The singularity subtraction technique for computing an approximate solution of a linear weakly singular Fredholm integral equation of the second kind is generalized to the case of a nonlinear integral equation of the same kind. Convergence of the sequence of approximate solutions to the exact one is proved under mild standard hypotheses on the nonlinear factor, and on the sequence of quadrature rules used to build an approximate equation. A numerical example is provided with a Hammerstein operator to illustrate some practical aspects of effective computations. |
| Databáze: | OpenAIRE |
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