Dissipative Methods Developed in the Literature

2 Dissipative Methods Developed in the Literature. - For the numerical solution of the second-order periodic problem (81) the following dissipative methods have been developed in the literature during the last two years. 

Simos and Williams have considered the two free parameter (vq and vi) family of explicit fifth algebraic order methods for problem (81)  

Requiring maximal algebraic order for each approximation and for the final method Simos and Wilhams have obtained the following coefficients  

The local truncation error (LTE) of the above family of methods is given by 

Tsitouras has developed the following family of dissipative two-step Numerov-type methods  

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