LAMBERT, J.D. Computational Methods in Ordinary Differential Equation . John Wiley & Sons, 1973. SMITH, G.D. Oxford Applied Mathematics and Computing Science Series ...

ABSTRACT: A novel heuristic technique has been developed for solving Ordinary Differential Equation (ODE) numerically under the framework of Genetic Algorithm (GA). The method incorporates a sniffer ...

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 ...

To solve the first-order differential equation derived from the problem of a free-falling object and the problem arising from Newton’s law of cooling, the study compares the numerical solutions ...

以下では、E. Hairer、S. P. Nørsett、G. Wanner らによる名著シリーズ “Solving Ordinary Differential Equations”（日本語訳版: 『常微分方程式の数値解法』）について、詳しく解説します。 本シリーズは、非剛性（Nonstiff）から剛性（Stiff）、さらには微分代数方程式（DAE ...

This is a preview. Log in through your library . Abstract This article considers estimation of constant and time-varying coefficients in nonlinear ordinary differential equation (ODE) models where ...