Scientific Research Publishing

Half-Step Continuous Block Method for the Solutions of Modeled Problems of Ordinary Differential Equations ()

Department of Mathematical Sciences, Adamawa State University, Mubi, Nigeria. Department of Mathematics, American University of Nigeria, Yola, Nigeria. Department of Mathematics, Modibbo University of ...
IEEE

Nonautonomous stability of linear multistep methods

Abstract: A linear scalar nonautonomous initial-value problem (IVP) is governed by a scalar λ(t) with a nonpositive real part. For a wide class of linear multistep methods, including BDF4–6, it is ...
IEEE

On a multistep method approximating a linear sectorial evolution equation

Abstract: This paper concerns the linear multistep approximation of an abstract dissipative linear sectorial evolution equation on a Banach space X. We study how well the semigroup generated by a ...
Scientific Research Publishing

S. N. Jator, “A Sixth Order Linear Multistep Method for Direct Solution of ,” International Journal of Pure and Applied Mathematics, Vol. 40, No. 1, 2007, pp. 457-472.

ABSTRACT: This paper proposes a continuous block method for the solution of second order ordinary differential equation. Collocation and interpolation of the power series approximate solution are ...