Amplitude-shape method for the numerical solution of ordinary differential equations.
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Date
1997
Authors
Parumasur, Nabendra.
Journal Title
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Abstract
In this work, we present an amplitude-shape method for solving evolution problems described
by partial differential equations. The method is capable of recognizing the special
structure of many evolution problems. In particular, the stiff system of ordinary differential
equations resulting from the semi-discretization of partial differential equations is considered.
The method involves transforming the system so that only a few equations are stiff
and the majority of the equations remain non-stiff. The system is treated with a mixed
explicit-implicit scheme with a built-in error control mechanism. This approach proved to
be very effective for the solution of stiff systems of equations describing spatially dependent
chemical kinetics.
Description
Thesis (Ph.D.)-University of Natal, 1997.
Keywords
Theses--Mathematics., Differential equations--Numerical solutions., Stiff computation (Differential equations), Runge-kutta formulas