Approximate solutions and numerical analysis of a spring-mass running model

Zofia Wróblewska. "Approximate solutions and numerical analysis of a spring-mass running model." Mathematica Applicanda 48 (2020): null. <http://eudml.org/doc/295487>.

@article{ZofiaWróblewska2020,
abstract = {We consider the classic spring-mass model of running which is built upon an inverted elastic pendulum. In this paper we introduce new approximate solution of an interesting boundary value problem for the governing system of two nonlinear ordinary differential equations, which in a natural way we get in this model. We give theoretical support by deriving asymptotic behaviour of obtained approximations. Simulations show that new solutions fall out very well. Our results are illustrated with some practical examples.},
author = {Zofia Wróblewska},
journal = {Mathematica Applicanda},
keywords = {spring-mass model, running, elastic pendulum, boundary value problem, approximation solution, shooting method},
language = {eng},
pages = {null},
title = {Approximate solutions and numerical analysis of a spring-mass running model},
url = {http://eudml.org/doc/295487},
volume = {48},
year = {2020},
}

TY - JOUR
AU - Zofia Wróblewska
TI - Approximate solutions and numerical analysis of a spring-mass running model
JO - Mathematica Applicanda
PY - 2020
VL - 48
SP - null
AB - We consider the classic spring-mass model of running which is built upon an inverted elastic pendulum. In this paper we introduce new approximate solution of an interesting boundary value problem for the governing system of two nonlinear ordinary differential equations, which in a natural way we get in this model. We give theoretical support by deriving asymptotic behaviour of obtained approximations. Simulations show that new solutions fall out very well. Our results are illustrated with some practical examples.
LA - eng
KW - spring-mass model, running, elastic pendulum, boundary value problem, approximation solution, shooting method
UR - http://eudml.org/doc/295487
ER -