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Thirumalai, Sagithya, Seshadri, Rajeswari, Yuzbasi, Suayip. (1402). Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations. سامانه مدیریت نشریات علمی, 11(3), 589-604. doi: 10.22034/cmde.2022.51962.2170
Sagithya Thirumalai; Rajeswari Seshadri; Suayip Yuzbasi. "Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations". سامانه مدیریت نشریات علمی, 11, 3, 1402, 589-604. doi: 10.22034/cmde.2022.51962.2170
Thirumalai, Sagithya, Seshadri, Rajeswari, Yuzbasi, Suayip. (1402). 'Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations', سامانه مدیریت نشریات علمی, 11(3), pp. 589-604. doi: 10.22034/cmde.2022.51962.2170
Thirumalai, Sagithya, Seshadri, Rajeswari, Yuzbasi, Suayip. Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations. سامانه مدیریت نشریات علمی, 1402; 11(3): 589-604. doi: 10.22034/cmde.2022.51962.2170

Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations

Computational Methods for Differential Equations
مقاله 11، دوره 11، شماره 3، شهریور 2023، صفحه 589-604    اصل مقاله (421.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.51962.2170
نویسندگان
Sagithya Thirumalai* 1؛ Rajeswari Seshadri2؛ Suayip Yuzbasi3
1School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Tamil Nadu, India.
2Department of Mathematics, Pondicherry University, Puducherry, India.
3Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey.
چکیده
In this paper, a spectral collocation method for solving nonlinear pantograph type delay differential equations is presented. The basis functions used for the spectral analysis are based on Chebyshev, Legendre, and Jacobi polynomials. By using the collocation points and operations matrices of required functions such as derivative functions and delays of unknown functions, the method transforms the problem into a system of nonlinear algebraic equations. The solutions of this nonlinear system determine the coefficients of the assumed solution. The method is explained by numerical examples and the results are compared with the available methods in the literature. It is seen from the applications that our method gives more efficient results than that of the reported methods.
کلیدواژه‌ها
Nonlinear pantograph equations؛ Collocation method؛ Spectral method
مراجع
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