An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind
The present paper deals with the designation of a new efficient numerical scheme for numerical solution of a class of coupled systems of Emden-Fowler equations describing several processes in applied sciences and technology. This method combines the shifted version of airfoil functions of the first...
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Vilnius Gediminas Technical University
2024-11-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://transport.vgtu.lt/index.php/MMA/article/view/19540 |
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| author | Mohammad Izadi Pradip Roul |
| author_facet | Mohammad Izadi Pradip Roul |
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The present paper deals with the designation of a new efficient numerical scheme for numerical solution of a class of coupled systems of Emden-Fowler equations describing several processes in applied sciences and technology. This method combines the shifted version of airfoil functions of the first kind (AFFK) and quasilinearization technique. More specifically, the quasilinearization technique is first applied to the original problem and the shifted AFFK (SAFFK) collocation matrix technique is then constructed for obtaining the solution of resulting family of submodels. We derive the error bound and analyze the convergence properties of the SAFFK. Computational and experimental simulations are carried out to describe the applicability and accuracy of the new technique. To show the benefit of the new approach, the computed numerical outcomes are compared with those results obtained via the Bernoulli and Haar wavelets collocation methods. It is evident from the numerical illustrations that the new developed scheme is superior to the existing available ones. The elapsed CPU time of the proposed method is provided.
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| format | Article |
| id | doaj-art-e2ba961d7c5b4e05ab16bcdd2bc2f0eb |
| institution | DOAJ |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-e2ba961d7c5b4e05ab16bcdd2bc2f0eb2025-08-20T02:49:01ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102024-11-0129410.3846/mma.2024.19540An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kindMohammad Izadi0Pradip Roul1Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranDepartment of Mathematics, VNIT, Nagpur, 440010 Maharashtra, India The present paper deals with the designation of a new efficient numerical scheme for numerical solution of a class of coupled systems of Emden-Fowler equations describing several processes in applied sciences and technology. This method combines the shifted version of airfoil functions of the first kind (AFFK) and quasilinearization technique. More specifically, the quasilinearization technique is first applied to the original problem and the shifted AFFK (SAFFK) collocation matrix technique is then constructed for obtaining the solution of resulting family of submodels. We derive the error bound and analyze the convergence properties of the SAFFK. Computational and experimental simulations are carried out to describe the applicability and accuracy of the new technique. To show the benefit of the new approach, the computed numerical outcomes are compared with those results obtained via the Bernoulli and Haar wavelets collocation methods. It is evident from the numerical illustrations that the new developed scheme is superior to the existing available ones. The elapsed CPU time of the proposed method is provided. https://transport.vgtu.lt/index.php/MMA/article/view/19540collocation pointsconvergent analysiscoupled ODEsEmden–Fowler equationsshifted airfoil functions |
| spellingShingle | Mohammad Izadi Pradip Roul An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind Mathematical Modelling and Analysis collocation points convergent analysis coupled ODEs Emden–Fowler equations shifted airfoil functions |
| title | An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind |
| title_full | An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind |
| title_fullStr | An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind |
| title_full_unstemmed | An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind |
| title_short | An effective numerical algorithm for coupled systems of Emden-Fowler equations via shifted airfoil functions of the first kind |
| title_sort | effective numerical algorithm for coupled systems of emden fowler equations via shifted airfoil functions of the first kind |
| topic | collocation points convergent analysis coupled ODEs Emden–Fowler equations shifted airfoil functions |
| url | https://transport.vgtu.lt/index.php/MMA/article/view/19540 |
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