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Bsc numerical analysis unit 4

In this unit we cover the following syllabus.

Some important solved questions related to previous unit 3.

  • Cover Previous year question ask in different colleges exam.
  • Other conceptual questions

Newton divided difference interpolation formula.

  • Equation of Newton divided difference interpolation formula.
  • Important questions of Newton divided difference interpolation formula.

Central Difference interpolation formula 

  • Gauss first central difference interpolation formula.
  • Gauss second central difference interpolation formula.
  • Gauss third central Difference interpolation formula.
  • Stirling central difference interpolation formula.
  • Bessels central difference interpolation formula.
  • Laplace - Everett interpolation formula.

Numerical differentiation 

  • Numerical differentiation.
  • Derivatives of  Newton Gregor's forward interpolation difference formula.
  • Derivatives of Newton Gregor's backward difference interpolation formula.
  • Derivatives of Newton divided difference interpolation formula.

Numerical integration.

  • General quadrature formula of integration.
  • Trapezoidal Rule.
  • Physical significance of Trapezoidal Rule.
  • Simpson's 1/3 rules.
  • Geometrical significance of Simpson's 1/3 rules.
  • Simpson's 3/8 rules.

Numerical solution of ordinary differential equation.

  • Ordinary differential equation.
  • Solution of ordinary differential equation.
  • General Solution of ordinary differential equation.
  • Particular Solution of ordinary differential equation.
  • Singular Solution of ordinary differential equation.

Method of finding numerical Solution of ordinary differential equation.

  • Euler method 
  • Modified Euler method 
  • Question practice 

view complete Notes from below.

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