A Class of Seventh Order Hybrid Extended Block Adams Moulton Methods for Numerical Solutions of First Order Delay Differential Equations

This paper considers the computational solution of some first order delay differential equations (DDEs) using a class seventh Hybrid Extended Block Adams Moulton Methods (HEBAMM) without application interpolation techniques in evaluating term. The term was evaluated by valid expression sequence. By matrix inversion techniques, discrete schemes proposed method were obtained through its continuous derivations with help linear multistep collocation procedure. convergence and stability analysis investigated. After demonstration solving DDEs, it observed that higher step number k = 4 integrated hybrid extended future point performed better faster terms efficiency, accuracy, consistency, convergence, region absolute Central Processing Unit Time (CPUT) than lower numbers 3 2 points when compared exact solutions other existing methods at fixed size .