GitHub

Solving Ordinary Differential Equations Numerical Method Implementation in Python

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 ...
note

(参考文献)Solving Ordinary Differential Equations（日本語訳版: 『常微分方程 ...

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 ...
Scientific Research Publishing

Double Elzaki Transform Decomposition Method for Solving Non-Linear Partial Differential ...

1 Mathematics Department, Faculty of Mathematical & Computer Science, Gezira University, Wad Madani, Sudan. 2 Mathematics Department, Faculty of Sciences and Arts, University of Jeddah, Jeddah, KSA.
IEEE

Exact discretization of differential equations by s-z transform

Abstract: This paper discusses a novel method of exact discretization obtaining an equivalent difference equation whose solution is equal to the solution of a differential equation at discrete ...
IEEE

Exact solution of integro-differential equations of diffusion along a grain boundary

Abstract: We analyse model problems of stress-induced atomic diffusion from a point source or from the surface of a material into an infinite or semi-infinite grain boundary, respectively. The ...