A new collocation method for solution of mixed linear integro-differential-difference equations
Numerical solution of mixed linear integro-differential-difference equation is presented using Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Cheby...
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| Veröffentlicht in: | Applied mathematics and computation 2010-06, Vol.216 (7), p.2183-2198 |
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| creator | Gülsu, Mustafa Öztürk, Yalçın Sezer, Mehmet |
| description | Numerical solution of mixed linear integro-differential-difference equation is presented using Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-differential-difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple10. |
| doi_str_mv | 10.1016/j.amc.2010.03.054 |
| format | Article |
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The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-differential-difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. 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The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-differential-difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple10.</description><subject>Algebra</subject><subject>Approximation methods</subject><subject>Chebyshev approximation</subject><subject>Chebyshev polynomials and series</subject><subject>Collocation methods</subject><subject>Collocation points</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Exact sciences and technology</subject><subject>Finite differences and functional equations</subject><subject>Linear and multilinear algebra, matrix theory</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mixed linear integro-differential-difference equations</subject><subject>Nonlinear algebraic and transcendental equations</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>Sciences and techniques of general use</subject><subject>Transforms</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kE1PHDEMhqOKSl22_ABuuVTqZbbOx2Yy6gkhoJWQemnPUcZJaFaZCSSzQP89WRZx7Mmy9fi1_BByzmDDgKlvu42dcMOh9SA2sJUfyIrpXnRbJYcTsgIYVCcAxCdyWusOAHrF5IqYCzr7J4o5pYx2iXmmk1_-ZkdDLrTmtH-d5UCn-OwdTXH2ttA4L_6u5M7FEHzx8xJtem_QU_-wfw2rn8nHYFP1Z291Tf5cX_2-_NHd_rr5eXlx26EEsXRqxFE6HPnIeyWkcshd6DUyNzArUQfhOIJuDJMWAAULiuMIw6g0ar4Va_L1mHtf8sPe18VMsaJPyc4-76thqmdi6NvXDWVHFEuutfhg7kucbPlnGJiDTLMzTaY5yDQgTJPZdr68xduKNoViZ4z1fZFzLbne6sZ9P3K-_foYfTEV48GIi8XjYlyO_7nyAtWXiyg</recordid><startdate>20100601</startdate><enddate>20100601</enddate><creator>Gülsu, Mustafa</creator><creator>Öztürk, Yalçın</creator><creator>Sezer, Mehmet</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20100601</creationdate><title>A new collocation method for solution of mixed linear integro-differential-difference equations</title><author>Gülsu, Mustafa ; Öztürk, Yalçın ; Sezer, Mehmet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c403t-6bcb4dcb2b276346dc2df78c1d91a4c8f3d2c08b4d14a00c31f62cb09b68c8253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Algebra</topic><topic>Approximation methods</topic><topic>Chebyshev approximation</topic><topic>Chebyshev polynomials and series</topic><topic>Collocation methods</topic><topic>Collocation points</topic><topic>Computation</topic><topic>Computer simulation</topic><topic>Exact sciences and technology</topic><topic>Finite differences and functional equations</topic><topic>Linear and multilinear algebra, matrix theory</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mixed linear integro-differential-difference equations</topic><topic>Nonlinear algebraic and transcendental equations</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-differential-difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple10.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/j.amc.2010.03.054</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Applied mathematics and computation, 2010-06, Vol.216 (7), p.2183-2198 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algebra Approximation methods Chebyshev approximation Chebyshev polynomials and series Collocation methods Collocation points Computation Computer simulation Exact sciences and technology Finite differences and functional equations Linear and multilinear algebra, matrix theory Mathematical analysis Mathematical models Mathematics Mixed linear integro-differential-difference equations Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Transforms |
| title | A new collocation method for solution of mixed linear integro-differential-difference equations |
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