In this paper, a new iterative formula for solving ordinary and partial nonlinear differential equations is derived based on the combination between Bernstein’s polynomial and the Adomian ...

Newton and fixed point iterative methods are very old methods for solving nonlinear equations. Newton method is quadratically con- vergent where as fixed point method is linear convergent.

Solving non-linear equation is perhaps one of the most difficult problems in all of numerical computations, especially in a diverse range of engineering applications. The convergence and performance ...

Due to this important property, this research aims to develop an efficient numerical method for solving a class of non-linear fractional BVPs. The proposed method is free from perturbation, ...

Newton-type Method: An extension of the classical Newton’s method that incorporates predictor-corrector strategies for improved convergence in non-linear and non-smooth problems.

An iterative method of the systems of the linear algebraic equations solution, excluding the multi-bit multiplication operation while designing the special-purpose computing facilities is considered.