One derivative p-c formulae with minimum error bounds

Abstract

In many references, various P-C methods are investigated for solving a system of differential equations. One derivative P-C formulae are aimed at reducing the number of derivative evaluations required to integrate over a given range. Here we concentrate on the obtainable special class of P-C one derivative formulae when the truncation error will be minimized. Third order, three points P-C formulae are contracted. Also fifth order six points depending on parameter is represented. Finally various order, different points PC formulae are tabloid.

Keywords:

• One derivative
• Predictor
• Corrector
• Truncation error
• Minimum error bounds
• System of differential equations

C.R.Categories:

• G.1.7