The further study of a certain nonlinear integro-differential equation (Q1093353)
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scientific article; zbMATH DE number 4022589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The further study of a certain nonlinear integro-differential equation |
scientific article; zbMATH DE number 4022589 |
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The further study of a certain nonlinear integro-differential equation (English)
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1987
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The authors obtain a global existence and uniqueness theorem for a nonlinear Volterra integro-differential equation which occurs in the statistical theory of turbulent diffusion. They employ implicit Runge- Kutta methods with m stages and optimal order \(p=2m\) to obtain an approximate solution of the equation. Some numerical examples are considered to demonstrate the advantage of their techniques over others.
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nonlinear Volterra integro-differential equation
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turbulent diffusion
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implicit Runge-Kutta methods
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numerical examples
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