Sentence examples for model many phenomena from inspiring English sources

Initial boundary value problems model many phenomena in engineering and science such as, fluid flow problems, wave propagation, fluid-structure interaction, conjugate heat transfer and financial mathematics.

Problem (1.1 - 1.2 1.1 - 1.2 used to model many phasomena in physics and engineering.

I study partial differential equations, which have been used to model many phenomena in the natural sciences and engineering.

I study partial differential equations and probability, which have been used to model many phenomena in the natural sciences and engineering.

Fractional differential equations model many phenomena in several fields such as fluid mechanics, chemistry [1, 2], biology [3], viscoelasticity [4], engineering, finance, and physics [5 7].

It is known that fractional differential equations serve as a good tool to model many phenomena in various fields of science and engineering (see [13 24] and references therein for discussions of various applications).

Fractional differential equations play a critical role in many fields, such as physics, engineering, chemistry, etc., in which it is used as a tool of modeling many phenomena.

Differential equations have recently been proved to be a valuable tool in modeling many phenomena arising from various fields of science and engineering.

Fractional differential operators appear naturally in modeling many phenomena in various fields of engineering, physics and economics, for example, nonlinear oscillations of earthquakes, seepage flow in porous media and dynamic traffic flow model.

In various problems of physics, mechanics, and engineering, fractional differential equations and fractional integral equations have been proved to be a valuable tool in modeling many phenomena [1, 2].

It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers.