Explore MATLAB source code curated for "初值问题" with clean implementations, documentation, and examples.
The fourth-order Adams explicit formula offers an efficient numerical method for solving initial value problems in ordinary differential equations, with implementation involving multi-step iteration and predictor-corrector algorithms.
This study focuses on solving and visualizing initial value problems for SIR differential equation models with enhanced implementation insights.
This MATLAB program implements the upwind scheme to solve convection equations, which have broad engineering applications. The upwind scheme offers high numerical accuracy and is complemented by a leapfrog scheme implementation for solving diffusion equation initial value problems, providing two distinct computational approaches.
MATLAB Algorithm Collection - Solving Initial Value Problems for ODEs with Implementation Examples
Implementation of universal subroutines for finite difference methods including Euler's method, improved Euler method, Adams-Bashforth two-step explicit method, and Adams-Moulton two-step implicit method, with applications to numerical solutions of ordinary differential equations through systematic code architecture.