# Numerical Methods

## To evaluate ordinary differential equations by RK-4 (Classical) Method

Evaluating ordinary differential equations by RK-4 or classical method both order first and second //To compute ordinary differential equations by RK-4 or classical method for order first #include #include #include void main() { cout<<“\t first order R-K 4th Classical Method\t”< double h,n,m1,i,m2,m3,m4,x,y; cout<<“Number of intervals “; cin>>n; cout< cout<<“Enter the value of h”<<<“h = “; …

## To calculate the value of an integer using Trapezoidal rule both when functional values are both given and values NOT given independently

Trapezoidal rule can be applied to find the value of a limiting integer programmatically in both cases whether individual functional values are given or not. A complete algorithm follows the both process below. /********* Trapezoidal rule complete algorithm 1. start 2. read n= no of intervals 3. read initial and final values ie a,b 4. …

## To calculate the Inverse of a Matrix using Gauss Jordon Method

Program to calculate the Inverse of a Matrix using Gauss Jordon Method, a simple yet complete algorithm follows below. Gauss Jordon Method can be employed to solve a system of linear equations having solutions. Unlink in Gauss Elimination method (in which triangular matrix is formed), in Gauss Jordon Method all off diagonal elements are eliminated …

## List of Program in Numerical Methods

Here are few programs written in C++ Programming Language for the Numerical Methods course for beginner Engineering Students. Sample codes, executing files and sometimes background theory can be found. Please, report back if you came across broken links or incorrect coding or anything you found to complain about. Queries will be replied. To write a …

## Numerical Methods EG601SH

Course Objectives To present the theory of numerical computational procedures for solving engineering problems. Solution of ordinary and partial differential equations will be included. 1.0 Solution of Nonlinear Equations:(10 hours) 1.1 Review of calculus, continuity, differentiability, intermediate value theorem, Taylor’s theorem 1.2 Absolute, relative, and round off errors, error bounds for computational errors 1.3 Bisection …

## To solve the linear equation using Gauss Elimination Method

Program to solve the linear equation using Gauss Elimination Method, the complete algorithm for Gauss Elimination Method is given below. The Gauss Elimination process involves two techniques for solving linear equation. The first one is forming upper triangular matrix by forward elimination and the second is using backward substitution method to find the unknown values. …

## To calculate the real roots of an equation using Bisection Method

Roots of a quadratic or polynomial can be computed using Bisection Method. The only difference that lies between the bisection method and the regula falsi method is the way the next new point x0 is found. The bisection method is linearly convergent as error decreases linearly with step each by a factor of 0.5. However, …

## To calculate the real roots of an equation using Regula Falsi (Bracketing) Method

Program to calculte the real roots of an equation using Regula Falsi (Bracketing) Method The only difference that lies between the bisection method and the regula falsi method is the way the next new point x0 is found. The bisection method is linearly convergent as error decreases linearly with step each by a factor of …

## To calculate atleast one root of a cubical equation correct to 3 decimal place using Newton Raphson (NR) Method

Program to calculate atleast one root of a cubical equation correct to 3 decimal place using Newton Raphson (NR) Method To calculate atleast one root of a cubical equation correct to 3 decimal place using Newton Raphson (NR) Method in C++ Programming Language for Numerical Methods for Engineering Students

## To understand and use Lagrange's Interpolation for a polynomial to determine functional value of data

Program to understand and use Lagrange’s Interpolation for a polynomial to determine functional value of data Lagrange’s Interpolation for a polynomial is used to determine nature of a polynomial with its degree based upon number of input values. As a polynomial is constructed, it is matched for the given data value to verify or to …

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