Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving y’’’ (x)=f (x,y,y’)

• Main Authors: Ghawadri, Nizam Ghannam Fayez, Senu, Norazak, Ismail, Fudziah, Ibrahim, Zarina Bibi
• Format: Article
• Language: English
• Published: Hindawi 2018
• Online Access: http://psasir.upm.edu.my/id/eprint/72681/1/Exponentially%20fitted%20and%20trigonometrically%20fitted%20explicit.pdf; http://psasir.upm.edu.my/id/eprint/72681/; https://www.hindawi.com/journals/jam/2018/4029371/

Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type (MRKT) methods for solving y’’’ (x)=f (x,y,y’) are derived in this paper. These methods are constructed which exactly integrate initial value problems whose solutions are linear combinations of the set functions ewx...