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Numerical Methods

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Published in: Electronics | Networking
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Assignment On Numerical Methods

Rohit K / Kolkata

3 years of teaching experience

Qualification: B.Tech/B.E. (WEST BENGAL UNIVERSITY OF TECHNOLOGY - 2017)

Teaches: Chemistry, Computer Science, IT & Computer Subjects, Mathematics, All Subjects, Physics

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  1. Numerical Methods Laboratory (M(CS)391) Assignment List No. 1 2 3 4 5 6 7 8 9 10 11 12 Laboratory Assignment A floating ball has a specific gravity of 0.6 and has a radius of 5.5 m. Find the depth at which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged in water is f(x) = (x*x*x)— *x) Write a program to find the roots of an equation using Newton-Raphson -5 method. The equation is x*x*x-15*x+5=0 and the error EA = 10 Write a program to solve the given equations by Regula-Falsi method starting from x 1=1.2 and x2=1.3 and the error EA = 10 Solve the equation dy/dx = x + 2* y using Euler's Method and fing f(0.02) when f(0)=0. Write a program using RK method of 2nd order to find y(2),given that & h=0.1. Write a program using RK method of 4th order to find y(2),given that (dy/dx)=(y*y)+(x*y) ,y(1)=0 & h=0.1 Write a C program to evaluate f o dx/(l + x2)using Trapezoidal method. Assume h=0.5 10 Write a C program to evaluate f o (4x — 3x2)dxusing Simpson's 1/3rd rule method. Assume h=0.5 and h=l. Using Lagrange's Interpolation formula, find the value of y(14.31) for the given set of data. x o 17.1 5 12 19 39.2 52.71 115.72 Find the value of y(l.5) by Newton's Forward Interpolation formula. x Y o 1 1 2 2 3 3 4 4 5 Numerical Methods Numerical Solution Of Algebraic Equation Solution Of Ordinary Differential Equation Integration Methods Interpolation Methods Solution Of System Of Linear Equation To solve the following linear equations using Gauss Elimination Method: x + 4y —z =5 x+y-6z — - -12 3x —y —z =4 Solve the following linear equations using Gauss Seidel method. x + 4y —z =5 x+y-6z — - -12 3x —y —z =4

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