3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations
Copyright policy )3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations
A Multistep collocation techniques is used in this paper to develop a 3-point explicit and implicit block methods, which are suitable for generating solutions of the general second-order ordinary differential equations of the form . The derivation of both explicit and implicit block schemes is given for the purpose of comparison of results. The Stability and Convergence of the individual methods of the block schemes are investigated, and the methods are found to be 0-stable with good region of absolute stability. The 3-point block schemes derived are tested on standard mechanical problems, and it is shown that the implicit block methods are superior to the explicit ones in terms of accuracy.
- University of Lagos Nigeria
- University of Lagos Nigeria
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, numerical examples, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, 3-point explicit and implicit block method, multistep collocation, Nonlinear ordinary differential equations and systems, stability, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, numerical examples, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, 3-point explicit and implicit block method, multistep collocation, Nonlinear ordinary differential equations and systems, stability, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
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