Non-linear one-step methods for initial value problems
Abstract
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In this article, we investigate the numerical approximation of solutions to a class of fourth-order singular boundary value problems subject to various boundary conditions. The difficulty of the problem stems from its nonlinear, non-self-adjoint, and singular nature, along with t
In this paper we investigate the T-stability of one-step methods for initial-value problems. The main result is that we extend the classical result (the well-known Euler method) for variable step size explicit and implicit one-step methods. In addition, we give further properties