A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Bhrawy, A. H. | |
| dc.contributor.author | Hafez, R. M. | |
| dc.contributor.author | Doha, E. H. | |
| dc.date.accessioned | 2020-04-27T14:50:49Z | |
| dc.date.accessioned | 2025-09-18T14:08:53Z | |
| dc.date.available | 2020-04-27T14:50:49Z | |
| dc.date.available | 2025-09-18T14:08:53Z | |
| dc.date.issued | 2014 | |
| dc.description | Hafez, Ramy/0000-0001-9533-3171; Doha, Eid/0000-0002-7781-6871 | en_US |
| dc.description.abstract | A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational- Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational- Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research DSR, King Abdulaziz University, Jeddah | en_US |
| dc.description.sponsorship | This paper was funded by the Deanship of Scientific Research DSR, King Abdulaziz University, Jeddah. The authors, therefore, acknowledge with thanks DSR technical and financial support. | en_US |
| dc.identifier.doi | 10.1155/2014/816473 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
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| dc.identifier.uri | https://doi.org/10.1155/2014/816473 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13239 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions | en_US |
| dc.title | A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hafez, Ramy/0000-0001-9533-3171 | |
| gdc.author.id | Doha, Eid/0000-0002-7781-6871 | |
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| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
| gdc.author.wosid | Hafez, Ramy/Aaa-5936-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Doha, E. H.] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele Buchaarest 76900, Romania; [Bhrawy, A. H.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia; [Bhrawy, A. H.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt; [Hafez, R. M.] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo 11931, Egypt | en_US |
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