Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China Center for Nonlinear Science Studies, Kunming University of Science and ...

Department of Mathematics and Institute of Systems Science, Research and Postgraduate Support, Durban University of Technology, PO Box 1334, Durban 4000, Republic of South Africa School of Mathematics ...

The SUNDIALS suite consists of the following packages for ordinary differential equation (ODE) systems, differential-algebraic equation (DAE) systems, and nonlinear algebraic systems: Warning to users ...

This example solves a set of two equations of two unknowns using a Quasi-Newton type solver. In this example, the solver is left to compute the derivatives numerically. This example uses a ...

In this work, we chose some methods with low cost and high accuracy such as Newton Raphson method (NRM) and bisection method (BM) to solve nonlinear equations, then we compare the performance of these ...

Methods: In this paper, we present a data-driven approach associated with the “Sparse Identification of Nonlinear Dynamics” (SINDy ... some well-known closed systems of ordinary differential equations ...

The most famous example in this class is the heat equation ... For these pipelines, an essential step is solving the G-equation, a nonlinear parabolic PDE that models the front propagation ...

Likewise, it’s possible to use algebra to transform a nonlinear equation so that it mimics ... relates the variables using a curve. One example of how nonlinear regression can be used is to ...

The Ramsey Regression Equation Specification Error Test (RESET) is a diagnostic test used in econometrics to detect misspecification errors in a regression model ...