Efficient implementation of Some Block Extended Trapezoidal rule of first kind (ETRs) class of method Applied to First Order Initial Value Problems of Differential Equations

Abstract

The numerical solution of first order ordinary differential equations is here approached by approximating a class of ,3k 5k and 7k step block extended trapezoidal rule of first kind respectively. The stability properties of the method discussed. Some numerical test, reported to show efficiency and accuracy of our newly developed method.