alexa Abstract | A New Numerical Method for Solving Stiff Initial Value Problems
ISSN: 2476-2296

Fluid Mechanics: Open Access
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Research Article Open Access

Abstract

A new numerical method that computes 2–points simultaneously at each step of integration is derived. The numerical scheme is achieved by modifying an existing DI2BBDF method. The method is of order 2. The stability analysis of the new method indicates that it is both zero and A–stable, implying that it is suitable for stiff problems. The necessary and sufficient conditions for the convergence of the method are also established which proved the convergence of the method. Numerical results show that the method outperformed some existing algorithms in terms of accuracy.

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Author(s): Bature Babangida*, Musa H and Kane IL

Keywords

A-Stability, Order of a block method, Implicit block method, Stiff initial value problems, Convergence,Diagonally implicit, Zero stability, Autowave Vortex,Dissipative Particle Dynamics,Electron Microscopy, Electronics Fluid Dynamics,Gravitation, Magnetism, Mechanical Engineering, Molecular Dynamics Physics, Quantum Vortex, Radio Astronomy, Scalar Wave, Superconductors, Superfluid?s,Turbulent Flow, Vertical Flow, Vortex, Vortices, Wireless

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