1 National Key Laboratory of Earth System Numerical Modeling and Application, College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing, China 2 Beijing Yanshan Earth ...
1 Faculty of Land Resource Engineering, Kunming University of Science and Technology, Kunming, Yunnan, China 2 China Construction Eighth Bureau Engineering Research Institute, China Construction ...
Abstract: For a weakly nonlinear system described by Volterra series, if the nonlinear differential equation (NDE) model of the system is unique, the nonlinear auto-regressive with exogenous input ...
Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
Abstract: In this paper, we study the problem of parameter identification for linear wave equations with dynamic boundary conditions. Using the finite difference method to discretize the time and ...
ABSTRACT: This paper focuses on the development of a hybrid method with block extension for direct solution of initial value problems (IVPs) of general third-order ordinary differential equations.
ABSTRACT: Lane-Emden type equation is a nonlinear differential equation appears in many fields such as stellar structure, radioactive cooling and modeling of clusters of galaxies. In this work, this ...