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Engineering Mathematics
Numerical Methods
GATE 2017
Medium

Match the problem type in Group-1 with the numerical method in Group-2. Group-1: P-System of linear algebraic equations, Q-Non-linear algebraic equations, R-Ordinary differential equations, S-Numerical integration. Group-2: I-Newton-Raphson, II-Gauss-Seidel, III-Simpson's rule, IV-Runge-Kutta. The correct combination is

  • AP-II, Q-I, R-III, S-IV
  • BP-I, Q-II, R-IV, S-III
  • CP-IV, Q-III, R-II, S-I
  • P-II, Q-I, R-IV, S-III

Explanation

Linear equations → Gauss-Seidel (II). Non-linear equations → Newton-Raphson (I). ODEs → Runge-Kutta (IV). Numerical integration → Simpson's rule (III).

Source: GATE CH 2017 (2017)

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