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پایگاه استنادی علوم جهان اسلام (ISC)

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Kumbinarasaiah, S, Preetham, M. P. (1401). A study on homotopy analysis method and clique polynomial method. سامانه مدیریت نشریات علمی, 10(3), 774-788. doi: 10.22034/cmde.2021.46473.1953
S Kumbinarasaiah; M. P Preetham. "A study on homotopy analysis method and clique polynomial method". سامانه مدیریت نشریات علمی, 10, 3, 1401, 774-788. doi: 10.22034/cmde.2021.46473.1953
Kumbinarasaiah, S, Preetham, M. P. (1401). 'A study on homotopy analysis method and clique polynomial method', سامانه مدیریت نشریات علمی, 10(3), pp. 774-788. doi: 10.22034/cmde.2021.46473.1953
Kumbinarasaiah, S, Preetham, M. P. A study on homotopy analysis method and clique polynomial method. سامانه مدیریت نشریات علمی, 1401; 10(3): 774-788. doi: 10.22034/cmde.2021.46473.1953

A study on homotopy analysis method and clique polynomial method

Computational Methods for Differential Equations
مقاله 16، دوره 10، شماره 3، مهر 2022، صفحه 774-788    اصل مقاله (566.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.46473.1953
نویسندگان
S Kumbinarasaiah* ؛ M. P Preetham
Department of Mathematics, Bangalore University, Bengaluru, India.
چکیده
This paper generated the novel approach called the Clique polynomial method (CPM) using the clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretion with suitable grid points in the current approach. We solved highly nonlinear initial value problems using the Homotopy analysis method (HAM) and Clique polynomial method (CPM). Obtained results reveal that the present technique is better than HAM that is discussed through tables and simulations. Convergence analysis is reflected in terms of theorems. 
کلیدواژه‌ها
Nonlinear differential equation؛ Clique polynomial؛ Complete graph؛ Homotopy analysis method
مراجع
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تعداد مشاهده مقاله: 626
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