On the stability of numerical methods for nonlinear Volterra integral equations (Q980816)
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scientific article; zbMATH DE number 5728637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of numerical methods for nonlinear Volterra integral equations |
scientific article; zbMATH DE number 5728637 |
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On the stability of numerical methods for nonlinear Volterra integral equations (English)
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29 June 2010
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Summary: We investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign, and, we provide conditions for the boundedness or decay of solutions and approximate solutions obtained by Volterra Runge-Kutta and direct quadrature methods.
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Volterra-Runge-Kutta method
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nonlinear second kind Volterra integral equation
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direct quadrature methods
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0.9596582
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0.9536414
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0.9534441
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0.95333105
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0.9455074
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0.9442457
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