微分方程与MATLAB（英文版，易学）

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微分方程与MATLAB（英文版，易学）

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Differential equations are fundamental in modeling real-world phenomena across physics, engineering, and biology. For beginners stepping into this field, MATLAB provides an accessible platform to understand and solve these equations numerically.

This practical guide introduces differential equations through MATLAB, focusing on hands-on learning. The book stands out by breaking down complex concepts using detailed examples that bridge theory and implementation. Each example systematically demonstrates how to translate mathematical formulations into working code, helping readers grasp numerical methods like Euler's approach or Runge-Kutta techniques.

The strength lies in its applied perspective - rather than overwhelming with abstract mathematics, it shows how differential equations describe systems ranging from simple pendulums to population dynamics. The accompanying programs serve as templates that learners can adapt for their own projects, reinforcing understanding through immediate application.

For those new to numerical methods, the book carefully explains common pitfalls in discretization and error accumulation. It progresses from basic ODEs to more challenging PDEs, with MATLAB's built-in solvers (ode45, pdepe) introduced at appropriate stages. The examples particularly help visualize solutions through MATLAB's plotting capabilities, making abstract concepts tangible.

By integrating theory with executable examples, this resource effectively demystifies numerical analysis for differential equations, providing a solid foundation for further exploration in scientific computing.