Partial Differential Equations
Truncation error refers to the difference between the exact mathematical solution of a problem and the approximation produced by a numerical method due to the simplification or truncation of a mathematical expression. This error arises when an infinite series is truncated or when derivatives are approximated, impacting the accuracy and reliability of numerical methods used in solving differential equations. Understanding truncation error is vital as it connects to stability, consistency, and convergence in numerical analysis.
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