Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces
The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estima...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/365904 |
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| _version_ | 1832566210302050304 |
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| author | Feras M. Al Faqih |
| author_facet | Feras M. Al Faqih |
| author_sort | Feras M. Al Faqih |
| collection | DOAJ |
| description | The present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces. |
| format | Article |
| id | doaj-art-66abc34be8484a7e9262aa8918b34e82 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-66abc34be8484a7e9262aa8918b34e822025-02-03T01:04:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/365904365904Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue SpacesFeras M. Al Faqih0Department of Mathematics and Statistics, King Faisal University, Saudi ArabiaThe present paper deals with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces.http://dx.doi.org/10.1155/2012/365904 |
| spellingShingle | Feras M. Al Faqih Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces Journal of Applied Mathematics |
| title | Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces |
| title_full | Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces |
| title_fullStr | Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces |
| title_full_unstemmed | Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces |
| title_short | Numerical Solution of Weakly Singular Integrodifferential Equations on Closed Smooth Contour in Lebesgue Spaces |
| title_sort | numerical solution of weakly singular integrodifferential equations on closed smooth contour in lebesgue spaces |
| url | http://dx.doi.org/10.1155/2012/365904 |
| work_keys_str_mv | AT ferasmalfaqih numericalsolutionofweaklysingularintegrodifferentialequationsonclosedsmoothcontourinlebesguespaces |