3-Point block backward differentiation formula with an off-step point for the solutions of stiff chemical reaction problems

Fully Implicit 3-Point Block Extended Backward Differentiation Formula for Stiff Initial Value Problems

A new block extended backward differentiation formula suitable for the integration of stiff initial value problems is derived. The procedure used involves the use of an extra future point which helps in improving the performance of an existing block backward differentiation formula. The method approximates the solution at 3 points simultaneously at each step. Accuracy and stability properties o...

Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off‐Step Points for Solving Stiff Initial Value Problems

A new formula called 2-point diagonally implicit super class of BBDF with two off-step points (2ODISBBDF) for solving stiff IVPs is formulated. The method approximates two solutions with two off-step points simultaneously at each iteration. By varying a parameter ρ ∈ (–1,1) in the formula, different sets of formulae can be generated. A specific choice of 3 4 ρ = is made and it was shown that th...

A new variable step size block backward differentiation formula for solving stiff initial value problems

Variable Step Block Backward Differentiation Formula for Solving First Order Stiff ODEs

block method based on Backward Differentiation Formulae (BDF) of variable step size for solving first order stiff initial value problems (IVPs) for Ordinary Differential Equations (ODEs). In a 2-point Block Backward Differentiation Formula (BBDF), two solution values are produced simultaneously. Plots of their regions of absolute stability for the method are also presented. The efficiency of th...

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.