Question

Write the merits and demerits of Picard’s Method

Answer 1

Picard's method :

Picard's method uses successive approximation to a estimate a solution of differential equations.

Merits :

1. Straightforward approach.

2. Successive integral approximations converge to a unique solution for a certain region.

Demerits :

1. Gets computationally heavy.

Answer 2

Answer:

The merits and demerits of Picard's Method of approximation are discussed below :

Step-by-step explanation:

Picard's method : Picard's method uses successive approximation to estimate a solution of higher order differential equations.

Merits :

1. Easy and clear approach : It has a fixed formula and method for approximating the solution of a differential equation.

2. Most approximate Solution : Successive integral approximations converge to a unique solution for a certain region.

Demerits :

1. Lengthy calculations : Due to its iterative steps sometimes the calculation gets heavy and its hard to solve the differential equation.