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AMC
2005
134views more  AMC 2005»
13 years 4 months ago
The Fourier spectral method for the Cahn-Hilliard equation
In this paper, a Fourier spectral method for numerically solving Cahn-Hilliard equation with periodic boundary conditions is developed. We establish their semi-discrete and fully d...
Xingde Ye, Xiao-Liang Cheng
AMC
2005
87views more  AMC 2005»
13 years 4 months ago
Wavelet based preconditioners for sparse linear systems
A class of efficient preconditioners based on Daubechies family of wavelets for sparse, unsymmetric linear systems that arise in numerical solution of Partial Differential Equatio...
B. V. Rathish Kumar, Mani Mehra
AMC
2005
105views more  AMC 2005»
13 years 4 months ago
Symbolic computing of nonlinear observable and observer forms
Observer design for highly nonlinear dynamics is an important issue, particularly when the locally observable dynamics are not linearly observable. In such circumstances the abili...
Harry G. Kwatny, Bor-Chin Chang
AMC
2005
106views more  AMC 2005»
13 years 4 months ago
Axisymmetric finite element solution of non-isothermal parallel-plate flow
Steady non-isothermal parallel-plate flow of a Newtonian fluid with a temperature dependent viscosity is considered. The viscosity is modelled by a Nahme type law. We apply axisym...
Shangyou Zhang, David O. Olagunju
AMC
2005
195views more  AMC 2005»
13 years 4 months ago
A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Onur Kiymaz, Seref Mirasyedioglu
AMC
2005
150views more  AMC 2005»
13 years 4 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar