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Home  >  Volume 46 (May, 2018)

4. SECOND DERIVATIVE BOUNDARY VALUE METHODS FOR STIFF SYSTEMS by G.C. Nwachukwu and M.N.O. Ikhile Volume 46 (May, 2018), pp23 –34
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SECOND DERIVATIVE BOUNDARY VALUE METHODS FOR STIFF SYSTEMS by G.C. Nwachukwu and M.N.O. Ikhile Volume 46 (May, 2018), pp23 –34  

SECOND DERIVATIVE BOUNDARY VALUE METHODS FOR STIFF SYSTEMS

G.C. Nwachukwu and M.N.O. Ikhile

Advanced Research Laboratory 

Department of Mathematics, University of Benin, Benin City, Nigeria.

Abstract

A class of second derivative linear multistep methods SDLMMs) with future points based on the extended backward differentiation formula (BDF) is presented. This class of methods finds usefulness as a main method in a boundary value method (BVM) implementation for the integration of stiff systems of ordinary differential equations (ODEs). The stability of these methods is investigated and they are of high orders of accuracy.

Keywords:  Boundary value methods, Stiff differential equations. Multistep and multi-derivative methods,  -stable,  -stable,  -stiffly stable, Virtual future points, Linear multistep methods.

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