Question: 1. Using Taylor series, construct a 3-point central differencing scheme for the first derivative using the solution values at j - 1, j, j +

1. Using Taylor series, construct a 3-point central differencing scheme for the first derivative using the solution values at j - 1, j, j + 1. 2. Using Taylor series, construct a 5-point central differencing scheme for the first derivative using the solution values at j - 2, j - 1, j, j + 1, j + 2. 3. What is error term and the order of accuracy for the above schemes

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