Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

Learn how to classify ODEs, and methods of solution including separation of variables and integrating factors. You can use these live scripts as demonstrations in lectures, class activities, or ...

A tersely annotated collection of references on types of approaches used in currently available methods to solve the general linear, first-order ordinary differential equation is presented, and ...

An important characterization of a numerical method for first order ODE's is the region of absolute stability. If all eigenvalues of the linear problem y' = Ay are inside this region, the numerical ...

Abstract: This paper investigates a distinct numerical algorithm for the solution of first and second orders initial value problems. The new method was developed using interpolation and collocation ...

Abstract: There are many problems in engineering can be reflected by linear ordinary differential equation with constant coefficients. If a differential equation has the Hyers-Ulam stability, then it ...