Numerical Python : A Practical Techniques Approach for Industry

© Robert Johansson 2015

Robert JohanssonNumerical Pythonhttps://doi.org/10.1007/978-1-4842-0553-2_9

9. Ordinary Differential Equations

Robert Johansson^1 

(1)

Chiba, Chiba, Japan

 

Keywords

Implicit MethodMultistep MethodIteration FormulaBackward Differentiation FormulaOptional Argument

Equations wherein the unknown quantity is a function, rather than a variable, and that involve derivatives of the unknown function, are known as differential equations. An ordinary differential equation is the special case where the unknown function has only one independent variable with respect to which derivatives occur in the equation. If, on the other hand, derivatives of more than one variable occur in the equation, then it is known as a partial differential ...