Analyzing Ordinary Differential Equations(ODEs) Using Numerical Integration Method in GNU Octave

In this paper, various fixed-step numerical integration methods are explored to solve ordinary differential mathematical equations. The effects of varying the step size on the numerical integration method are analyzed. For illustration, various LTI systems are analyzed using the numerical integration method. LTI systems are chosen since their analytical solutions are available. Various filed like Aerospace, automated control, thermonuclear reaction, electronic circuits, chemical reactions, and other fields of networking using stiff mathematical differential equations. The stiff system faces problems of rapid decaying for networking in electronic components and problems of charging and discharging time. The accuracy of numerical calculation and logic gates are largely depends upon the stability of electronic networking circuit. The issue of rapid discharging and slow charging poses seriously interfere on the stability of electronic networking system. Further, the rapid changing also affects the stability and accuracy of numerical solution of great practical difficulty that is a problem in the field of science and technology.