From Wikipedia, the free encyclopedia
Differential equations play a prominent role in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc. This list presents differential equations that have received specific names, area by area.
Dynamical systems and Chaos theory
Ordinary Differential Equations (ODEs)
Fluid dynamics and hydrology
Quantum mechanics and quantum field theory
Thermodynamics and statistical mechanics
Waves (mechanical or electromagnetic)
Electrical and Electronic Engineering
Neutron diffusion equation
[3]
Transportation engineering
^ Zebiak, Stephen E.; Cane, Mark A. (1987).
"A Model El Niño–Southern Oscillation" . Monthly Weather Review . 115 (10): 2262–2278.
doi :
10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2 .
ISSN
1520-0493 .
^ Griffiths, David J. (2004), Introduction to Quantum Mechanics (2nd ed.) , Prentice Hall, pp. 1–2,
ISBN
0-13-111892-7
^ Ragheb, M. (2017).
"Neutron Diffusion Theory" (PDF) .
^ Choi, Youngsoo (2011).
"PDE-constrained Optimization and Beyond" (PDF) .
^ Heinkenschloss, Matthias (2008).
"PDE Constrained Optimization" (PDF) . SIAM Conference on Optimization.
^ Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad (1992). "Nonlinear total variation based noise removal algorithms". Physica D . 60 (1–4): 259–268.
Bibcode :
1992PhyD...60..259R .
CiteSeerX
10.1.1.117.1675 .
doi :
10.1016/0167-2789(92)90242-F .
^ Murray, James D. (2002).
Mathematical Biology I: An Introduction (PDF) . Interdisciplinary Applied Mathematics. Vol. 17 (3rd ed.). New York: Springer. pp. 395–417.
doi :
10.1007/b98868 .
ISBN
978-0-387-95223-9 .
^ Fernández-Villaverde, Jesús (2010).
"The econometrics of DSGE models" (PDF) . SERIEs . 1 (1–2): 3–49.
doi :
10.1007/s13209-009-0014-7 .
S2CID
8631466 .
^ Piazzesi, Monika (2010).
"Affine Term Structure Models" (PDF) .
^ Cardaliaguet, Pierre (2013).
"Notes on Mean Field Games (from P.-L. Lions' lectures at Collège de France)" (PDF) .
Classification
Operations Attributes of variables Relation to processes
Solutions
Existence/uniqueness Solution topics Solution methods
Examples Mathematicians