Solving oscillatory problems using a block hybrid trigonometrically fitted method with two off-step points

Electronic Journal of Differential Equations

关键词: First order system;    hybrid method;    trigonometrically fitted method;    off-step point;    block method;   

DOI  :  

来源: DOAJ

【 摘 要 】

A continuous hybrid method using trigonometric basis (CHMTB) withtwo "off-step" points is developed and used to produce three discretehybrid methods which are simultaneously applied as numerical integratorsby assembling them into a block hybrid trigonometrically fitted method (BHTFM)for solving oscillatory initial value problems (IVPs). The stabilityproperty of the BHTFM is discussed and the performance of the method isdemonstrated on some numerical examples to show accuracy and efficiencyadvantages.

【 授权许可】

Unknown