The Refinement-Schemes Unified Algorithms for Certain Nth Order Linear and Nonlinear Differential Equations With a Set of Constraints
| dc.contributor.author | Mustafa, Ghulam | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Chu, Yu-Ming | |
| dc.contributor.author | Ejaz, Syeda Tehmina | |
| dc.date.accessioned | 2023-02-08T11:07:46Z | |
| dc.date.accessioned | 2025-09-18T12:49:40Z | |
| dc.date.available | 2023-02-08T11:07:46Z | |
| dc.date.available | 2025-09-18T12:49:40Z | |
| dc.date.issued | 2021 | |
| dc.description | Mustafa, Ghulam/0000-0002-0441-8485 | en_US |
| dc.description.abstract | We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential equations with a set of constraints are presented. Moreover, several algorithms based on the refinement schemes for solving differential equations are the special cases of our algorithms. | en_US |
| dc.description.sponsorship | NRPU [3183] | en_US |
| dc.description.sponsorship | This work is partially supported by NRPU (P. No. 3183). | en_US |
| dc.identifier.citation | Ejaz, Syeda Tehmina...et al. (2021). "The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03283-2 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.issn | 1687-1839 | |
| dc.identifier.scopus | 2-s2.0-85101302660 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03283-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12445 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Differential Equation | en_US |
| dc.subject | Constraints | en_US |
| dc.subject | Boundary Value Problems | en_US |
| dc.subject | Algorithm | en_US |
| dc.subject | Refinement Schemes | en_US |
| dc.subject | Interpolation | en_US |
| dc.title | The Refinement-Schemes Unified Algorithms for Certain Nth Order Linear and Nonlinear Differential Equations With a Set of Constraints | en_US |
| dc.title | The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mustafa, Ghulam/0000-0002-0441-8485 | |
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| gdc.author.wosid | Ejaz, Syedatehmina/Kia-0616-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mustafa, Ghulam/Abh-1050-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ejaz, Syeda Tehmina] Govt Sadiq Coll Women Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan; [Mustafa, Ghulam] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China; [Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
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| gdc.oaire.keywords | Boundary value problems | |
| gdc.oaire.keywords | Algorithm | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Constraints | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Refinement schemes | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Interpolation | |
| gdc.oaire.keywords | Numerical solution of boundary value problems involving ordinary differential equations | |
| gdc.oaire.keywords | algorithm | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | boundary value problems | |
| gdc.oaire.keywords | refinement schemes | |
| gdc.oaire.keywords | interpolation | |
| gdc.oaire.keywords | differential equation | |
| gdc.oaire.keywords | constraints | |
| gdc.oaire.keywords | Numerical solution of singularly perturbed problems involving ordinary differential equations | |
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