Indignation moving singularity and analytical approximate solution of a nonlinear third-order equations
This paper presents a study of one class of nonlinear differential equations with movable singular points. On the basis of the previously proved theorem of existence and uniqueness of the solution, the structure of the analytical approximate solution was obtained, for which, in this work, the influence of the perturbation of a moving singular point was established. Results are tested using a numerical experiment. To optimize the prior estimates, the posterior estimate was used.