Numerical solution of uncertain second order ordinary differential equation using interval finite difference method

Abstract

It is well known that differential equations are in general the backbone of physical systems. The physical systems are modelled usually either by ordinary differential or partial differential equations. Various exact and numerical methods are available to solve different ordinary and partial differential equations. But in actual practice the variables and coefficients in the differential equations are not crisp. As those, are obtained by some experiment or experience. As such the coefficients and the variables may be used in interval or in fuzzy sense. So, we need to solve ordinary and partial differential equations accordingly, that is interval ordinary and interval partial differential equations are to be solved. In the present analysis our target is to use interval computation in the numerical solution of some ordinary differential equations of second order by using interval finite difference method with uncertain analysis.