Diagonally Implicit Block Backward Differentiation Formulas for Solving Ordinary Differential Equations

الملخص EN

This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points.

The method approximates the solution at two points simultaneously.

The implementation and the stability of the proposed method are also discussed.

A performance of the DI2BBDF is compared with the existing methods.