Numerical solutions of Nagumo's equation (Q1976666)
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scientific article; zbMATH DE number 1445832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solutions of Nagumo's equation |
scientific article; zbMATH DE number 1445832 |
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Numerical solutions of Nagumo's equation (English)
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11 December 2000
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Summary: Nagumo's equation is the third-order nonlinear ordinary differential equation \[ {d^3u\over dx^3}- c{d^2u\over dx^2}+ f'(u){du\over dx}- (b/c)u= 0 \] with \(f(u)= u(1- u)(u- a)\), \(0< a< 1\). The author develops a technique to determine those values of the parameters \(a\), \(b\) and \(c\) which permit nonconstant bounded solutions.
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Nagumo's equation
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nonconstant bounded solutions
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