SOLVING MEDICAL AKZO NOBEL PROBLEM USING FUNCTIONAL LOAD BALANCING ALGORITHM OF 4(3) DIRK METHOD

Abstract

Medical Akzo Nobel problem (MEDAKZO) is known for its tenancy of incurring high computational cost. Originates from the penetration of radio-labeled antibodies into a tissue that has been infected by a tumor, the problem has been derived from a one dimensional partial differential equations to a two dimensional ordinary differential equations thus generates a large scale of problem to be solved. This paper presents the performance of a new 4(3) diagonally implicit Runge-Kutta (DIRK) method which is suitable to excellently solve MEDAKZO problem that is stiff in nature. The sparsity pattern designed on the method enable the functions evaluations to be computed simultaneously on two processors. The functional load balancing can be profitable especially in solving large problems.