Automate the application of computational methods to solve the initial value problem, visualize the constructed solutions. Compare the values of local truncation ...

Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial value ...

Differential equations are used to model problems in science and engineering that involve the change of some variable with respect to the other. Most of these problems require the solution of an ...

Transactions of the American Mathematical Society, Vol. 355, No. 12 (Dec., 2003), pp. 4985-5002 (18 pages) We study two classes of linear difference differential equations analogous to Euler-Cauchy ...

Euler's method numerically approximates solutions of first-order ordinary differential equations (ODEs) with a given initial value. It is an explicit method for solving initial value problems (IVPs), ...

Abstract: Chronic obstructive pulmonary disease (COPD) is associated with the respiratory system. COPD is often treated with inhalers whose two major ingredients are the bronchodilators and the ...

Uniqueness in the Cauchy problem for hyperbolic operators degenerate at a point on the initial surface depends on values of the coefficients of the lower order terms ...