PARALLEL EXECUTION OF BLOCK RUNGE-KUTTA METHODS FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS

Abstract

The objective of this paper is to exploit the favourable characteristics of block explicit Runge-Kutta and block diagonally implicit Runge-Kutta methods for sequential machines to parallel ones. Both methods are used to solve ordinary differential equations, codes based on the methods are execute in sequential and parallel. Numerical results based on the two modes of executions are tabulated and compared.

Keywords: Block Explicit Runge-Kutta , Block Diagonally Implicit Runge-Kutta, sequential, parallel.