TY - GEN
T1 - Probabilistic evolution approach for initial value problems over Fourier basis set
AU - Tuna, Süha
AU - Demiralp, Metin
PY - 2012
Y1 - 2012
N2 - Initial Value Problems (IVPs) which are ordinary differential equations (ODEs) with an accompanying initial value are one of the most important subjects in science and engineering. They are encountered in many applications of scientific fields such as physics, quantum mechanics, statistical mechanics etc. Scientists have a large amount of knowledge about how to solve them even analytically or numerically. In this work, a new and novel approach to solve IVPs, especially having non-linear descriptive functions, based on linearization will be introduced.
AB - Initial Value Problems (IVPs) which are ordinary differential equations (ODEs) with an accompanying initial value are one of the most important subjects in science and engineering. They are encountered in many applications of scientific fields such as physics, quantum mechanics, statistical mechanics etc. Scientists have a large amount of knowledge about how to solve them even analytically or numerically. In this work, a new and novel approach to solve IVPs, especially having non-linear descriptive functions, based on linearization will be introduced.
KW - Fourier Basis Set
KW - Initial Value Problems
KW - Probabilistic Evolution Approach
UR - http://www.scopus.com/inward/record.url?scp=84873107831&partnerID=8YFLogxK
U2 - 10.1063/1.4765618
DO - 10.1063/1.4765618
M3 - Conference contribution
AN - SCOPUS:84873107831
SN - 9780735411050
T3 - AIP Conference Proceedings
SP - 1054
EP - 1058
BT - 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
T2 - 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Y2 - 10 July 2012 through 14 July 2012
ER -