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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| Format: | Article |
| Language: | English |
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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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| author | Edris Rawashdeh Dave McDowell Leela Rakesh |
| author_facet | Edris Rawashdeh Dave McDowell Leela Rakesh |
| author_sort | Edris Rawashdeh |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b3b32f13ad744e93a971d098fb84e47d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b3b32f13ad744e93a971d098fb84e47d2025-02-03T01:23:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200571049106610.1155/IJMMS.2005.1049The stability of collocation methods for VIDEs of second orderEdris Rawashdeh0Dave McDowell1Leela Rakesh2Department of Mathematics, Center for Applied Mathematics and Polymer Fluid Dynamics, Central Michigan University, Mount Pleasant 48859, MI, USADepartment of Mathematics, Center for Applied Mathematics and Polymer Fluid Dynamics, Central Michigan University, Mount Pleasant 48859, MI, USADepartment of Mathematics, Center for Applied Mathematics and Polymer Fluid Dynamics, Central Michigan University, Mount Pleasant 48859, MI, USASimplest 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.http://dx.doi.org/10.1155/IJMMS.2005.1049 |
| spellingShingle | Edris Rawashdeh Dave McDowell Leela Rakesh The stability of collocation methods for VIDEs of second order International Journal of Mathematics and Mathematical Sciences |
| title | The stability of collocation methods for VIDEs of second order |
| title_full | The stability of collocation methods for VIDEs of second order |
| title_fullStr | The stability of collocation methods for VIDEs of second order |
| title_full_unstemmed | The stability of collocation methods for VIDEs of second order |
| title_short | The stability of collocation methods for VIDEs of second order |
| title_sort | stability of collocation methods for vides of second order |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1049 |
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