We use ideas related to involutive completion of a system of PDEs to formulate computational problems of fluid mechanics. As for the solution of differential algebraic equations the approach requires solution of extra equations for derivative consequences. The extra calculation cost is negligible while the discrete form becomes much simpler to handle. We show that in this way we can quite easil...

The Delta and Omicron variants’ system was used in this research study to replicate the complex process of SARS-CoV-2 outbreak. generalised fractional designed rigorously analysed order gain a comprehensive understanding transmission dynamics both variants. proposed dynamical has heredity memory effects, which greatly improved our ability perceive disease propagation dynamics. non-singular Atan...

In this paper, we study the fuzzy differential equations in the quotient space of fuzzy numbers. We deal with the convergence of successive approximations of the initial value problem of the fuzzy differential equations under the general uniqueness assumption of Perron type utilizing the comparison functions that is rather instructive. We also discuss the approximate solutions and the error est...

Taking into account that many problems of natural sciences and engineering are reduced to solving initial-value problem for ordinary differential equations, beginning from Newton, the scientists investigate approximate solution of ordinary differential equations. There are papers of different authors devoted to the solution of initial value problem for ODE. The Euler’s known method that was dev...