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B.TECH • R25 • COMPUTATIONAL MATHEMATICS

Computational Mathematics Lab

Using Python / MATLAB Software

LAB MANUAL

Computational Mathematics Lab Programs

This laboratory manual contains 5 experiments covering Eigen values and Eigenvectors, algebraic and transcendental equations, linear systems of equations, first-order ODEs and higher-order differential equations using Python / MATLAB software.

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UNIT - I

Eigen Values and Eigenvectors

Experiment 01
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UNIT - II

Solution of Algebraic and Transcendental Equations

Experiment 02
02

Bisection method, Newton Raphson Method. Programs: Root of a given equation using Bisection method; Root of a given equation using Newton Raphson Method.

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UNIT - III

Linear System of Equations

Experiment 03
03

Jacobi’s iteration method and Gauss-Seidal iteration method. Programs: Solution of given system of linear equations using Jacobi’s method; Solution of given system of linear equations using Gauss-Seidal method.

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UNIT - IV

First-Order ODEs

Experiment 04
04

Exact and non-exact equations, Applications: exponential growth/decay and Newton's law of cooling. Programs: Solving exact and non-exact equations; Solving exponential growth/decay and Newton's law of cooling problems.

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UNIT - V

Higher Order Linear Differential Equations with Constant Coefficients

Experiment 05