0 votes
831 views

Match the following items

 (i) Newton-Raphson (a) Integration (ii) Runge-Kutta (b) Root finding (iii) Gauss-Seidel (c) Ordinary Differential Equations (iv) Simpson's Rule (d) Solution of Systems of Linear Equations
| 831 views

## 3 Answers

+3 votes
Best answer
i-b,ii-c,iii-d,iv-a
by Boss
selected
+1 vote
Answer:

(i) - (b)
(ii) - (c)
(iii) - (d)
(iv) - (a)
by Boss
+1 vote

i-b,ii-c,iii-d,iv-a

==> Newton-Raphson method. it is a iterative process follows a set guideline to approximate one root, considering the function, its derivative, and an initial x-value.

The Newton-Raphson method uses an iterative process to approach one root of a function.The specific root that the process locates depends on the initial, arbitrarily chosen x-value.

https://www.shodor.org/UNChem/math/newton/

and one good example is https://gateoverflow.in/2627/gate1995-2-15

==>Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations

https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods

==>Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.

https://en.wikipedia.org/wiki/Gauss%E2%80%93Seidel_method

==>Simpson's rule is a Newton-cotes formula for approximating the integral of a function  using quadratic polynomialhttp://mathworld.wolfram.com/SimpsonsRule.html

by Boss
edited

0 votes
0 answers
1
+1 vote
1 answer
2
+20 votes
4 answers
4