NUMERICAL SOLUTION OF SYSTEMS OF INTEGRO DIFFERENTIAL EQUATIONS USING POLYNOMIAL COLLOCATION METHOD

This paper deals with the development of a new numerical scheme to solve systems of linear

integro differential equation under mixed conditions. The new method adopted the use of

standard collocation points to transform the state equations into linear algebraic equations.

These equations are then solved using MATLAB programming through the matrix inversion

technique to obtain the unknowns. The convergence of the method is established and numerical

examples are solved and compared with existing results to confirm the efficiency of the new method