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Numerical analysis of a nonlinear operator equation arising from a monetary model

โœ Scribed by Jenny Li


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
161 KB
Volume
22
Category
Article
ISSN
0165-1889

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โœฆ Synopsis


Mathematical and numerical analysis are applied to a nonlinear operator equation arising in monetary economics. For the nonlinear operator equation, the contraction property is established, and fixed point iterations are employed to numerically solve the equation using a finite element method. Convergence rate and error estimates are given for the numerical scheme. The finite element method has been implemented as computer programs which make extensive use of computer software packages such as Matlab (for numerical computations and graphics) and Mathematica (for symbolic computation).


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This paper deals with the numerical solution of nonlinear integro-differential equations modelling a one-dimensional quasi-static contact problem in thermoviscoelasticity. A finite element approximation is proposed and analysed and some numerical results are given.