Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions
In this paper a collection of efficient algorithms are described for solving an algebraic system with a symmetric Toeplitz coecient matrix. Systems of this form arise when approximating the solution of boundary value Volterra integro-differential equations with finite difference methods. In the nonl...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298001057 |
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| _version_ | 1832556117359591424 |
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| author | L. E. Garey R. E. Shaw |
| author_facet | L. E. Garey R. E. Shaw |
| author_sort | L. E. Garey |
| collection | DOAJ |
| description | In this paper a collection of efficient algorithms are described for solving an algebraic system
with a symmetric Toeplitz coecient matrix. Systems of this form arise when approximating the solution of
boundary value Volterra integro-differential equations with finite difference methods. In the nonlinear case,
an iterative procedure is required and is incorporated into the algorithms presented. Numerical examples
illustrate the results. |
| format | Article |
| id | doaj-art-8574acfc21f04edca4e984e001e95821 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8574acfc21f04edca4e984e001e958212025-02-03T05:46:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121475576010.1155/S0161171298001057Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditionsL. E. Garey0R. E. Shaw1Univrsity of New Brunswick, P.O. Box 5050, N.B., Saint John E2L 4L5, CanadaUnivrsity of New Brunswick, P.O. Box 5050, N.B., Saint John E2L 4L5, CanadaIn this paper a collection of efficient algorithms are described for solving an algebraic system with a symmetric Toeplitz coecient matrix. Systems of this form arise when approximating the solution of boundary value Volterra integro-differential equations with finite difference methods. In the nonlinear case, an iterative procedure is required and is incorporated into the algorithms presented. Numerical examples illustrate the results.http://dx.doi.org/10.1155/S0161171298001057algorithm efficiencyNonlinear Volterra integro-differential equationsymmetric Toeplitz matrix. |
| spellingShingle | L. E. Garey R. E. Shaw Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions International Journal of Mathematics and Mathematical Sciences algorithm efficiency Nonlinear Volterra integro-differential equation symmetric Toeplitz matrix. |
| title | Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions |
| title_full | Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions |
| title_fullStr | Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions |
| title_full_unstemmed | Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions |
| title_short | Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions |
| title_sort | efficient algorithms for solving nonlinear volterra integro differential equations with two point boundary conditions |
| topic | algorithm efficiency Nonlinear Volterra integro-differential equation symmetric Toeplitz matrix. |
| url | http://dx.doi.org/10.1155/S0161171298001057 |
| work_keys_str_mv | AT legarey efficientalgorithmsforsolvingnonlinearvolterraintegrodifferentialequationswithtwopointboundaryconditions AT reshaw efficientalgorithmsforsolvingnonlinearvolterraintegrodifferentialequationswithtwopointboundaryconditions |