Block hybrid method with trigonometric-fitting for solving oscillatory problems

• Main Authors: Fudziah Ismail, Sufia Zulfa Ahmad, Jikantoro, Yusuf Dauda, Norazak Senu
• Format: Article
• Language: English
• Published: Penerbit Universiti Kebangsaan Malaysia 2018
• Online Access: http://journalarticle.ukm.my/12417/1/33%20Fudziah%20Ismail.pdf; http://journalarticle.ukm.my/12417/; http://www.ukm.my/jsm/malay_journals/jilid47bil9_2018/KandunganJilid47Bil9_2018.htm
• Institution: Universiti Kebangsaan Malaysia

In this paper, we develop algebraic order conditions for two-point block hybrid method up to order five using the approach of B-series. Based on the order conditions, we derive fifth order two-point block explicit hybrid method for solving special second order ordinary differential equations (ODEs),...