ODE method: Difference between revisions
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The '''ODE method''' generates solutions to a PDE by assuming a special form for the solution (for instance, a travelling wave or a solution independent of the spatial variables) which collapses the equation to an ODE. This is a special case of the method of separation of variables. | The '''ODE method''' generates solutions to a PDE by assuming a special form for the solution (for instance, a travelling wave or a solution independent of the spatial variables) which collapses the equation to an ODE. This is a special case of the method of separation of variables. | ||
Latest revision as of 05:02, 4 August 2006
The ODE method generates solutions to a PDE by assuming a special form for the solution (for instance, a travelling wave or a solution independent of the spatial variables) which collapses the equation to an ODE. This is a special case of the method of separation of variables.
The ODE method can be used to generate blowup solutions to various equations such as the focusing nonlinear wave equation.
