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Questions and Answers
What branch of numerical analysis studies the numerical solution of partial differential equations?
What branch of numerical analysis studies the numerical solution of partial differential equations?
- Numerical solution of partial differential equations (correct)
- Numerical solution of ordinary differential equations
- Numerical integration methods
- Numerical methods for algebraic equations
Which type of differential equation contains unknown multivariable functions and their partial derivatives?
Which type of differential equation contains unknown multivariable functions and their partial derivatives?
- Linear differential equation
- Partial differential equation (correct)
- Ordinary differential equation
- Stochastic differential equation
What type of differential equation involves functions of several variables and is used to formulate problems involving these functions?
What type of differential equation involves functions of several variables and is used to formulate problems involving these functions?
- Ordinary differential equation
- Partial differential equation (correct)
- Stochastic differential equation
- Algebraic differential equation
In partial differential equations, how many independent variables do ordinary differential equations have?
In partial differential equations, how many independent variables do ordinary differential equations have?
What kind of equations cannot be solved using symbolic computation and often require a numeric approximation to the solution?
What kind of equations cannot be solved using symbolic computation and often require a numeric approximation to the solution?
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Study Notes
Numerical Analysis of Partial Differential Equations
- Numerical solution of partial differential equations is studied in the branch of numerical analysis.
Partial Differential Equations
- Partial differential equations contain unknown multivariable functions and their partial derivatives.
- They involve functions of several variables and are used to formulate problems involving these functions.
Ordinary Differential Equations
- Ordinary differential equations have only one independent variable.
Solving Differential Equations
- Partial differential equations often require a numeric approximation to the solution, as they cannot be solved using symbolic computation.
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