The stability of collocation methods for VIDEs of second order
Simplest results presented here are the stability criteria of collocation methods for the second-order Volterra integro differential equation (VIDE) by polynomial spline functions. The polynomial spline collocation method is stable if all eigenvalues of a matrix are in the unit disk and all eigenva...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1049 |
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| Summary: | Simplest results presented here are the stability
criteria of collocation methods for the second-order Volterra
integro differential equation (VIDE) by polynomial spline
functions. The polynomial spline collocation method is stable if
all eigenvalues of a matrix are in the unit disk and all
eigenvalues with |λ|=1 belong to a 1×1 Jordan block. Also many other conditions are derived depending upon the
choice of collocation parameters used in the solution procedure. |
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| ISSN: | 0161-1712 1687-0425 |