Numerical solution of Lane-Emden type equations using Flatlet oblique multiwavelets collocation approach

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 80

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شناسه ملی سند علمی:

JR_IJNAA-14-10_018

تاریخ نمایه سازی: 14 آبان 1402

چکیده مقاله:

The presented paper examines a numerical method for solving Lane-Emden type equations based on Flatlet oblique multiwavelet properties. In this paper, using the Flatlet multiwavelet features, an operator matrix is created and then the Lane-Emden equation reduces to a set of algebraic equations. Also, comparing the results presented in previous articles, it is observed that this wavelet due to having different high ranks, has the ability to solve this problem more accurately than other methods.

کلیدواژه ها:

atlet oblique multiwavelet ، Lane-Emden equation ، operational matrix of derivative ، Operational matrix of integration ، collocation method ، biorthogonal system

نویسندگان

Zahra Shafinejad

Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

Mohammad Zarebnia

Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

M. Lakestani

b Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

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  • H. Adibi and A.M. Rismani, On using a modified Legendre-spectral ...
  • B. Alpert, textitA class of basis in L۲ for the ...
  • B. Alpert, G. Beylkin, R.R. Coifman and V. Rokhlin, Wavelet-like ...
  • C.M. Bender, K.A. Milton, S.S. Pinsky and Simmons, A new ...
  • A.H. Bhrawy and A.S. Alofi, A JacobiGauss collocation method for ...
  • J.P. Boyd, Chebyshev spectral methods and the Lane-Emden problem, Numer. ...
  • Li-hong Cui, Zheng-xing Cheng, A method of construction for biorthogonal ...
  • W. Dahmen, B. Han, R.Q. Jia and A. Kunoth, Biorthogonal ...
  • M.R.A. Darani, H. Adibi and M. Lakestani, Numerical solution of ...
  • I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure ...
  • I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Lecture Notes, vol. ...
  • M. Dehgan, m. Shakourifar and A. Hamidi, The solution of ...
  • T.N.T. Goodman and S.L. Lee, Wavelets of multiplicity, Trans. Amer. ...
  • J.C. Goswami, A.K. Chan and C.K. Chui, On solving first-kind ...
  • B. Han and Q.T. Jiang, Multiwavelets on the interval, Appl. ...
  • C. H. Hsiao, W. J. Wang, Optimal control of linear ...
  • S. Islam, I. Aziz and M Fayyaz, A new approach ...
  • F. Keinert, Wavelets and Multiwavelets, Chapman and Hall/CRC, A CRC ...
  • M. Lakestani and M. Dehgan, Four techniques based on the ...
  • M. Lakestani and Z. Shafinejhad, Numerical solution Of linear integral ...
  • H.R. Marzban, H.R. Tabrizidooz and M. Razzaghi, Hybrid functions for ...
  • R. Mohammadzadeh, M. Lakestani and M. Dehgan, Collocation method for ...
  • K. Parand, M. Dehghan, A.R. Rezaei and S.M. Ghaderi, An ...
  • O.W. Richarson, The emission of electricity from hot bodies, Longmans, ...
  • A.M. Wazwaz, A new algorithm for solving differential equations of ...
  • A.M. Wazwaz, The modified decomposition method for analytic treatment of ...
  • X.G. Xia, J.S. Geronimo, D.P. Hardin and B.E. Suter, Design ...
  • S. Yzbasi and M. Sezer, An improved Bessel collocation method ...
  • S. Yzbasi and M. Sezer, An improved Bessel collocation method ...
  • A. Zamiri, A. Borhanifar and A. Ghannadiasl, Laguerre collocation method ...
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