1. Introduction
Differential equations play an important role in many problem of engineering and science. This is so because of the involvement of differential equation in the mathematical models. It naturally leads to the determination of solution numerically. The use of the numerical methods have become vital in the absence of explicit solutions. Normally numerical methods have two major roles:
(a) the method should be implementable on a computer;
(b) the method should deal with the analysis of error estimates.
For the present we deal with some of the numerical methods to solve initial value problems (IVP's) (on finite intervals). We also mention that no effort is made to study boundary value problems. Let us consider an initial value problem.
Full Reference...
Differential equations play an important role in many problem of engineering and science. This is so because of the involvement of differential equation in the mathematical models. It naturally leads to the determination of solution numerically. The use of the numerical methods have become vital in the absence of explicit solutions. Normally numerical methods have two major roles:
(a) the method should be implementable on a computer;
(b) the method should deal with the analysis of error estimates.
For the present we deal with some of the numerical methods to solve initial value problems (IVP's) (on finite intervals). We also mention that no effort is made to study boundary value problems. Let us consider an initial value problem.
Full Reference...
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