An Optimized Half-Step Scheme Third derivative Methods for Testing Higher Order Initial Value Problems

Abstract

An optimized half-step third derivative block scheme on testing third order initial value problems is presented in this article. This scheme suggests some certain points of evaluation which properly optimizes the truncation errors at point of formulas, the conditions that guarantee the properties of the method was considered and satisfied. However the develop scheme is used to test some third order optimized problems and the mathematical outcomes achieved confirms better calculation than the previous method we related with.

Keywords

• half-step
• optimize hybrid block
• local truncation error
• third order problem