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SOLUTIONS
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微分方程
Mathematica 自动选择数百种强大的原算法,对微分方程(常微分方程、偏微分方程、微分代数方程组、时滞微分方程组 ......) 提供数值解和符号解. 除了指定符号方程外,Mathematica 使用一整套丰富的特殊函数和它的符号插值函数来表示解,这样方便快速操纵和可视化.
精选实例精选实例 |
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AC-DC Full-Wave Rectifier
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Automatic Discontinuity Handling
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Chemical Reactions
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Compute Sliding-Mode Solutions
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Differential Equations with Discrete Events
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Double Pendulum
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Hybrid Dynamical Systems
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Hydraulic Systems
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Model Constrained Systems as DAEs
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Parametric Differential Equations
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Parametric Sensitivity of the Wave Equation
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Poincaré Sections
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Proportional-Derivative Controller
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Sensitivity Analysis
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Simulate a Bouncing Ball
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Simulate Physical Systems with Collisions
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Use C Code to Solve a Differential Equation
参考资料参考资料
y'[x] (Derivative) — 函数的导数
DSolve — 微分方程的符号解
NDSolve — 微分方程的数值解
InterpolatingFunction — 用于求解的插值函数
ParametricNDSolveValue — 带有参数的微分方程的数值解
NDSolveValue ▪ ParametricNDSolve ▪ ParametricFunction
事件下的微分方程 »
WhenEvent — 当一个事件发生在微分方程中时采取的行动
选项
AccuracyGoal ▪ PrecisionGoal ▪ WorkingPrecision
Method — 选择和调整许多可能的求解算法
StepMonitor, EvaluationMonitor — 监控求解的过程
Wronskian — 验证函数或常微分方程的解决方案的线性独立
微分函数 »
DifferentialRoot — 表示线性微分方程的解
函数可视化 »
Plot ▪ StreamPlot ▪ VectorPlot
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