4. What are numerical errors. Explain with example.
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This section will describe two types of error that are common in numerical calcula- tions: roundoff and truncation error. Roundoff error is due to the fact that floating point numbers are represented by finite precision. Truncation error occurs when we make a discrete approximation to a continuous functio.
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Since numerical solutions are an approximation, and since the computer program that executes the numerical method might have errors, a numerical solution needs to be examined closely. There are three major sources of error in computation: human errors, truncation errors, and round-off errors.
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