Numerical Solution of Reaction-Diffusion Equations With Convergence Analysis
| dc.contributor.author | Ghovatmand, M. | |
| dc.contributor.author | Skandari, M. H. Noori | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Heidari, M. | |
| dc.date.accessioned | 2024-01-17T13:28:43Z | |
| dc.date.accessioned | 2025-09-18T12:05:40Z | |
| dc.date.available | 2024-01-17T13:28:43Z | |
| dc.date.available | 2025-09-18T12:05:40Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this manuscript, we implement a spectral collocation method to find the solution of the reaction-diffusion equation with some initial and boundary conditions. We approximate the solution of equation by using a two-dimensional interpolating polynomial dependent to the Legendre-Gauss-Lobatto collocation points. We fully show that the achieved approximate solutions are convergent to the exact solution when the number of collocation points increases. We demonstrate the capability and efficiency of the method by providing four numerical examples and comparing them with other available methods. | en_US |
| dc.identifier.citation | Heidari M.;...et.al. (2023). "Numerical Solution of Reaction–Diffusion Equations with Convergence Analysis", Journal of Nonlinear Mathematical Physics, Vol.30, No.2, pp.384-399. | en_US |
| dc.identifier.doi | 10.1007/s44198-022-00086-1 | |
| dc.identifier.issn | 1402-9251 | |
| dc.identifier.issn | 1776-0852 | |
| dc.identifier.scopus | 2-s2.0-85139624572 | |
| dc.identifier.uri | https://doi.org/10.1007/s44198-022-00086-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10676 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springernature | en_US |
| dc.relation.ispartof | Journal of Nonlinear Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Reaction-Diffusion Equations | en_US |
| dc.subject | Spectral Collocation Method | en_US |
| dc.subject | Shifted Legendre-Gauss-Lobatto Points | en_US |
| dc.subject | Convergence Analysis | en_US |
| dc.subject | Shifted Legendre–Gauss–Lobatto Points | |
| dc.subject | Reaction–Diffusion Equations | |
| dc.title | Numerical Solution of Reaction-Diffusion Equations With Convergence Analysis | en_US |
| dc.title | Numerical Solution of Reaction–Diffusion Equations with Convergence Analysis | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Heidari, M.; Ghovatmand, M.; Skandari, M. H. Noori] Shahrood Univ Technol, Fac Math Sci, Shahrood, Iran; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Baleanu, D.] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] China Med Univ, China Med Univ Hosp, Dept Med Res, Taiching, Taiwan | en_US |
| gdc.description.endpage | 399 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 384 | en_US |
| gdc.description.volume | 30 | en_US |
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| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Collocation (remote sensing) | |
| gdc.oaire.keywords | Diffusion equation | |
| gdc.oaire.keywords | Polynomial | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Diffusion | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
| gdc.oaire.keywords | Service (business) | |
| gdc.oaire.keywords | Numerical Integration Methods for Differential Equations | |
| gdc.oaire.keywords | Orthogonal collocation | |
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| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Reaction-Diffusion Equations | |
| gdc.oaire.keywords | Convection-Diffusion Problems | |
| gdc.oaire.keywords | Spectral method | |
| gdc.oaire.keywords | Boundary value problem | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Collocation method | |
| gdc.oaire.keywords | Economic growth | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Economy | |
| gdc.oaire.keywords | Applied mathematics | |
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| gdc.oaire.keywords | Reaction–diffusion system | |
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| gdc.oaire.keywords | Convergence (economics) | |
| gdc.oaire.keywords | Gauss | |
| gdc.oaire.keywords | Legendre polynomials | |
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| gdc.oaire.keywords | Ordinary differential equation | |
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| gdc.oaire.keywords | convergence analysis | |
| gdc.oaire.keywords | spectral collocation method | |
| gdc.oaire.keywords | shifted Legendre-Gauss-Lobatto points | |
| gdc.oaire.keywords | reaction-diffusion equations | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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