31-Which of the following is the effect of increasing the number of intervals (n) on the calculation result in the Trapezoidal Method? a) The calculation error does not change. B) The calculation error first increases and then decreases. NS) Increases calculation error. D) The calculation error is reduced. TO) Calculation error first decreases, then increases.
31-Which of the following is the effect of increasing the number of intervals (n) on the calculation result in the Trapezoidal Method?
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Mathematical methods used to solve equations or evaluate integrals or solve differential equations can be classified broadly into two types.
- Analytical Methods
- Numerical Methods
Analytical methods are those which by an analysis of the equation obtain a solution directly as a readymade formula in terms of say, the coefficients present in the equations.
In numerical solution, instead of directly writing the answer in terms of some formula, we perform stepwise calculations using some algorithms or numerical procedures and arrive at the same results.
The advantage of numerical methods is that usually, these procedures work on a much wider range of problems as compared to analytical solutions which work in a limited class of problems.
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