On Calculating the Eigenvalues of the Finite Hill's Differential Equation
On numerical solution of multiparameter Sturm-Liouville spectral problems
The method proposed here has been devised for solution of the spectral problem for the Lamé wave equation (see [2]), but extended lately to more general problems. This method is based on the phase function concept or the Prüfer angle determined by the Prüfer transformation cotθ(x) = y'(x)/y(x), where y(x) is a solution of a second order self-adjoint o.d.e. The Prüfer angle θ(x) has some useful properties very often being referred to in theoretical research concerning both single- and multi-parameter...
On the resonance problem for the order ordinary differential equations, Fučík’s spectrum
On the solution of a differential equation occurring in the problem of heat convection in laminar flow through a tube with slip-flow.
One-step methods for ordinary differential equations with parameters
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.