7 citations · 7 across the 4 of their papers we have counts for
5 papers
Stability preserving structural transformations of systems of linear second-order ordinary differential equations
Volodymyr Makarov, Denis Dragunov
In the paper we have developed a theory of stability preserving structural transformations of systems of second-order ordinary differential equations (ODEs), i.e., the transformati…
The FD-method for solving nonlinear Klein-Gordon equation
Volodymyr Makarov, Denis Dragunov, Dmytro Sember
In the paper we present a functional-discrete method for solving the Goursat problem for nonlinear Klein-Gordon equation. The sufficient conditions providing that the proposed meth…
Exponentially convergent functional-discrete method for solving Sturm-Liouville problems with potential including Dirac δ-function
Volodymyr Makarov, Nataliya Rossokhata, Denis Dragunov
In the paper we present a functional-discrete method for solving Sturm-Liouville problems with potential including function from L_{1}(0,1) and δ-function. For both, linear and non…
Exponentially convergent functional-discrete method for eigenvalue transmission problems with discontinuous flux and potential as a function in the space
Volodymyr Makarov, Nataliya Rossokhata, Denis Dragunov
Based on the functional-discrete technique (FD-method), an algorithm for eigenvalue transmission problems with discontinuous flux and integrable potential is developed. The case of…
A numeric-analytical method for solving the Cauchy problem for ordinary differential equations
Volodymyr Makarov, Denis Dragunov
In the paper we offer a functional-discrete method for solving the Cauchy problem for the first order ordinary differential equations (ODEs). This method (FD-method) is in some sen…