Runge-Kutta Method here After Called as RK Method is the Generalization of the Concept Used in Modified Euler's Method .

In Modified Eulers Method the Slope of the Solution Curve has been Approximated with the Slopes of the Curve at the end Points of the each Sub Interval in Computing the solution.

The Natural Generalization of this Concept is Computing the Slope by Taking a Weighted Average of the slopes taken at more number of points in each sub interval.

The implementation of the Scheme Differes from Modified Eulers Method .

So that the Developed Algorithm is Explicit in Nature

The Final form of the Scheme is of the Form







Contact No :
044 2257 8280

Address :
Indian Institute of Technology Madras
Beside Adyar Cancer Institute, Opposite to C.L.R.I
Sardar Patel Rd
Adyar
Chennai, Tamil Nadu 600036