Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-418 Numerical Analysis-II
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MATH-418 Numerical Analysis-II
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Numerical Differentiation Derivatives using: Lagrange’s interpolation formula, Newton’s divided difference formula, Gregory Newton forward/backward interpolation formula, Gauss’s forward/backward interpolation formula, Stirling’s formula, Laplace Everett’s formula, Bessel’s formula Numerical Integration Newton-Cotes formulae Trapezoidal rule, Simpson rule, Weddle’s rule, Boole’s rule Errors in quadrature formulae Gaussian quadrature formulae Formulation of Difference Equations Analogy of difference equations Linear homogeneous difference equations with constant coefficients Linear non-homogeneous difference equations with constant coefficients Ordinary Differential Equations Introduction to ODEs Taylor’s series method: Simultaneous first order differential equations, higher order differential equations Euler’s, improved Euler’s, modified Euler’s and Runge-Kutta methods with error analysis Predictor-corrector methods for solving initial value problems |
| Credit hours/ Marks:- 3 |
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