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1
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Root finding
Bisection Methods, False position Methods, Newton – Raphson Methods, Secant Methods and Successive Approximation Methods
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2
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Interpolation Techniques
Newton’s interpolation methods for forward interpolation, backward interpolation and Newton’s divided interpolation method, Langrange’s interpolation methods, Stirling’s interpolation methods, Cubic spline interpolation, interpolation by iteration
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3
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Numerical Integration
Trapezoidal rule, Simpson’s 1/3rd and 3/8th rule, Weddle’s rule
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4
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Solution of system of linear equations using Numerical Techniques
Gauss – Jacobi iterative methods, Gauss – Seidel iterative methods
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5
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Numerical Solution of Ordinary differential equations
Solution of Initial value problems by Taylor’s series, Picard’s methods of successive approximation, Runge – Kutta Method of order 2 and 4, Solution of Boundary value problems by Finite – Difference Methods, Shooting methods
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6
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Numerical Solution of Partial differential equations
Finite difference approximation to derivatives, solution of Laplace equation, Successive over-relaxation methods, parabolic equations
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7
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Curve Fitting
Least square curve fitting procedures for linear and non linear curves
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8
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Finite Element methods
Methods of Approximation - Rayleigh – Ritz Method, Galerkin Methods
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