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Taylor Series Derivations of the first order and the second order derivatives using various finite

difference schemes of different orders of truncation errors.

Consistency, Stability, and Converngence

Example: Consistency of FTCS Scheme

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Stability Analysis

FITC method

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Leapfrog method

Iterative Method Eg. 1

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Eg.2

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Derivative Boundary Condition

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Finite Element Method