The quest for accurate and more efficient methods solving periodic/oscillatory problems is gaining attention in recent time. This paper presents the construction implementation of a family exponentially-fitted Obrechkoff using six-step flowchart discussed literature. A single-step method involving terms up to fourth derivative was used as base method. We also present stability convergence prope...

Abstract In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due explicit nature new method, not only does it require another as predictor, but can also be considered suitable predictive technique used implicit Periodicity and error terms are studied when applied solve radial Schrödinger equation, considering different energy levels. We show i...

a new two-step implicit linear obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. the purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial schrodinger equation and related problems. this algorithm belongs in the category of the multist...

This paper discusses the numerical solution of rst order initial value problems and a special class of second order ones those not containing rst derivative Two classes of methods are discussed super implicit and Obrechko We will show equivalence of super implicit and Obrechko schemes The advantage of Obrechko methods is that they are high order one step methods and thus will not require additi...

A new two-step implicit linear Obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. The purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial Schrodinger equation and related problems. This algorithm belongs in the category of the multist...

The results in this paper are motivated by two analogies. First, m-harmonic functions in Rn are extensions of the univariate algebraic polynomials of odd degree 2m−1. Second, Gauss’ and Pizzetti’s mean value formulae are natural multivariate analogues of the rectangular and Taylor’s quadrature formulae, respectively. This point of view suggests that some theorems concerning quadrature rules cou...