in trpezoidal rule for numerical integration how you can find error
To know which numerical method to use for a problem one first needs to understand the various methods and evaluate the problems.
The main disadvantage of the bisection method for finding the root of an equation is that, compared to methods like the Newton-Raphson method and the Secant method, it requires a lot of work and a lot of iterations to get an answer with very small error, whilst a quarter of the same amount of work on the N-R method would give an answer with an error just as small.In other words compared to other methods, the bisection method takes a long time to get to a decent answer and this is it's biggest disadvantage.
Error propagation in numerical analysis is just calculating the uncertainty or error of an approximation against the actual value it is trying to approximate. This error is usually shown as either an absolute error, which shows how far away the approximation is as a number value, or as a relative error, which shows how far away the approximation is as a percentage value.
If the estimated value is given, then calculating the numerical error from the percentage error, or the other way around, is a trivial exercise. If the estimated value is not known then it is impossible to tell which of the two is clearer.
in trpezoidal rule for numerical integration how you can find error
I may be wrong, but I think the question is kind of ambiguous. Do you mean a numerical integration method, a numerical differentiation method, a pivoting method, ... specify.
Mohammad Bashir has written: 'Numerical modelling of tidal flows in the Arabian gulf'
John Stuart Harper has written: 'Analytic cache modelling of numerical programs'
Ian Timothy Brown has written: 'Numerical modelling of pumping tests in unconfined aquifers'
To know which numerical method to use for a problem one first needs to understand the various methods and evaluate the problems.
The main disadvantage of the bisection method for finding the root of an equation is that, compared to methods like the Newton-Raphson method and the Secant method, it requires a lot of work and a lot of iterations to get an answer with very small error, whilst a quarter of the same amount of work on the N-R method would give an answer with an error just as small.In other words compared to other methods, the bisection method takes a long time to get to a decent answer and this is it's biggest disadvantage.
please help
numerical method 1:numerical method uses finite difference or finite element method approximation to solve differential equation 2:give just approximation of the perfect solution analytical method 1:does not uses finite difference 2:give theoreticaly perfect solution.
Error propagation in numerical analysis is just calculating the uncertainty or error of an approximation against the actual value it is trying to approximate. This error is usually shown as either an absolute error, which shows how far away the approximation is as a number value, or as a relative error, which shows how far away the approximation is as a percentage value.
If the estimated value is given, then calculating the numerical error from the percentage error, or the other way around, is a trivial exercise. If the estimated value is not known then it is impossible to tell which of the two is clearer.
Numerical methods are used to find solutions to problems when purely analytical methods fail.