Some equations are beautiful because they reveal unexpected relationships between different subjects. The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time ...

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 ...

Integral transformation: A mathematical technique that converts a differential or differential-difference equation into an algebraic equation, facilitating the analysis and solution of the problem.

The simulation software generates equations symbolically, so it can simplify complex models using sophisticated techniques, such as differential elimination, before solving them numerically.

THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations.

Description Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...

The aim of using this software is to solve differential equations individually and as a system of equation in parallel with analytical mathematics trends.

Stochastic differential equations are used as models for various physical phenomena, such as chemical reactions, atomic migration in crystals, thermal fluctuations in electrical networks, noisy ...