Abstract: This paper shows that the problem of determining the particular solution to a linear differential equation with constant coefficients can be recast as a model-following problem. The ...

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...

In the course Numerical Solutions of Differential Equations Projects of 2019 spring, three projects should be finished in order to complete the course. I give codes and reports of the three projects ...

This is a source code for the numerical solution of nonlinear stochastic differential equations generating signals with 1/f noise. The equtions are described in Refs. [1-2]. The code can be adapted to ...

Our main concern here is to give a numerical scheme to solve a nonlinear multi-term fractional (arbitrary) orders differential equation. Some results concerning the existence and uniqueness have been ...

In Kronecker products works, matrices are some times regarded as vectors and vectors are some times made in to matrices. To be precise about these reshaping we use the vector and diagonal extraction ...

The main aim of this paper is to develop some basic theories of neutral stochastic functional differential equations (NSFDEs). Firstly, we establish a local existenceuniqueness theorem under the local ...