Mathematics

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A 3-step block hybrid backward differentiation formulae (bhbdf) for the solution of general second order ordinary differential equation
(New Trends in Mathematical Sciences, 2021-07-12) Hussaini Alhassan; Muhammad Raihanatu
In this paper, the block hybrid Backward Differentiation formulae (BHBDF) for the step number k=3 is developed using power series as basis function for the solution of general second order ordinary differential equation. The idea of interpolation and collocation of the power series at some selected grid and off- grid points gave rise to continuous schemes which were further evaluated at those points to produce discrete schemes combined together to form block methods. Numerical problems were solved with the proposed methods and were found to perform effectively.
Formulation Of A Standard Runge- Kutta Type Method For The Solution First And Second Order Initial Value Problems
(Researchjournali’s Journal of Mathematics, 2015-03) Muhammad R.; Y. A Yahaya; A.S Abdulkareem
In this paper, we present a standard Runge-Kutta Type Method (RKTM) for . The process produces Backward Differentiation Formula (BDF) scheme and its hybrid form which combined together to form a block method. The method is reformulated into a Runge-Kutta Type of the same step number for the solution of first and second order (special or general) initial value problem of Ordinary Differential Equation (ODE).