دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,398
تعداد مقالات17,068
تعداد مشاهده مقاله55,059,100
تعداد دریافت فایل اصل مقاله17,501,331
Rahrovi, Yahya, Mahmoudi, Yaghoub, Salimi Shamloo, Ali, Jahangiri Rad, Mohammad. (1402). Jacobi wavelets method for numerical solution of fractional population growth model. سامانه مدیریت نشریات علمی, 11(2), 387-398. doi: 10.22034/cmde.2022.49041.2047
Yahya Rahrovi; Yaghoub Mahmoudi; Ali Salimi Shamloo; Mohammad Jahangiri Rad. "Jacobi wavelets method for numerical solution of fractional population growth model". سامانه مدیریت نشریات علمی, 11, 2, 1402, 387-398. doi: 10.22034/cmde.2022.49041.2047
Rahrovi, Yahya, Mahmoudi, Yaghoub, Salimi Shamloo, Ali, Jahangiri Rad, Mohammad. (1402). 'Jacobi wavelets method for numerical solution of fractional population growth model', سامانه مدیریت نشریات علمی, 11(2), pp. 387-398. doi: 10.22034/cmde.2022.49041.2047
Rahrovi, Yahya, Mahmoudi, Yaghoub, Salimi Shamloo, Ali, Jahangiri Rad, Mohammad. Jacobi wavelets method for numerical solution of fractional population growth model. سامانه مدیریت نشریات علمی, 1402; 11(2): 387-398. doi: 10.22034/cmde.2022.49041.2047

Jacobi wavelets method for numerical solution of fractional population growth model

Computational Methods for Differential Equations
مقاله 14، دوره 11، شماره 2، تیر 2023، صفحه 387-398    اصل مقاله (379.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.49041.2047
نویسندگان
Yahya Rahrovi1؛ Yaghoub Mahmoudi* 1؛ Ali Salimi Shamloo2؛ Mohammad Jahangiri Rad1
1Mathematics Department‎, ‎Tabriz Branch‎, ‎Islamic Azad University‎, ‎Tabriz‎, ‎Iran.
2Mathematics Department‎, ‎Shabestar Branch‎, ‎Islamic Azad University‎, ‎Shabestar‎, ‎Iran.
چکیده
This paper deals with the generalization of the fractional operational matrix of Jacobi wavelets. The fractional population growth model was solved by using this operational matrix and compared with other existing methods to illustrate the applicability of the method. Then, convergence and error analysis of this procedure were studied. 
کلیدواژه‌ها
Hybrid functions؛ Jacobi polynomials؛ Operational matrix؛ Population growth model؛ Wavelets
مراجع
  • [1] E. Ashpazzadeh, M. Lakestani, and A. Fatholahzadeh, Spectral Methods Combined with Operational Matrices for Fractional Optimal Control Problems, Applied and computational mathematics, 20(2) (2021), 209–235.
  • [2] P. Assari and M. Dehghan, The Numerical Solution of Nonlinear Weakly Singular Fredholm Integral Equations Based on the Dual-Chebyshev Wavelets, Applied and computational mathematics, 19(1) (2020), 3–19.
  • [3] A. H. Bhrawy and A. S. Alofi, The operational matrix of fractional integration for shifted Chebyshev polynomials, Applied Mathematics Letters, 26 (2013), 25–31.
  • [4] A. Borhanifar and Kh. Sadri, A new operational approach for numerical solution of generalized functional integro- differential equations, Journal of Computational and Applied Mathematics, 279 (2015), 80–96.
  • [5] E. Fathizadeh, R. Ezzati, and K. Maleknejad, CAS Wavelet function method for solving Abel equations with error analysis, International Journal of Research in Industrial Engineering, 6(4) (2017), 350–364.
  • [6] E. Fathizadeh, R. Ezzati, and K. Maleknejad, Hybrid rational Haar Wavelet and Block Pulse functions method for solving population growth model and Abel integral equations, Journal of Mathematics Problems in Engineering, 2017 (2017), 1–7.
  • [7] J. S. Guf and W. S. Jiang, The Haar wavelet operational matrix of integration, International Journal of Systems Science, 27 (1996), 623–628.
  • [8] M. H. Heydari, M. R. Hooshmandasl, and F. M. M. Ghaini, A good approximate solution for lineard equation in a large interval using block pulse functions, Journal of Mathematical Extension, 7(1) (2013), 17–32.
  • [9] M. H. Heydari, M. R. Hooshmandasl, F. M. M. Ghaini, and F. Fereidouni, Two-dimensional legendre wavelets for solving fractional poisson equation with dirichlet boundary conditions, Engineering Analysis with Bundary Elements, 37(11) (2013), 1331– 1338.
  • [10] M. H. Heydari, M. R. Hooshmandasl, C. Cattani, and M. Li, Legendre wavelets method for solving fractional population growth model in a closed system, Mathematical Problems in Engineering, 2013 (2013), 1–8.
  • [11] R. P. Kanwal, Linear Integral Equations, Academic Press, New York, London, 1971.
  • [12] A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of fractional differential equations, Elsevier, Amsterdam, 2006.
  • [13] K. Krishnaveni, K. Kannan, and S. Raja Balachandar, Approximate analytical solution for fractional population growth model, International Journal of Engineering and Technology (IJET), 5(3) (2013).
  • [14] Y. Li, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation, 15(9) (2010), 2284–2292.
  • [15] Y. Li and W. Zhao, Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order diffrentials equations, Applied Mathematics and Computation, 216(8) (2010), 2276–2285.
  • [16] K. Maleknejad, B. Basirat, and E. Hashemizadeh, Hybrid Legendre polynomials and block- pulse functions ap- proach for nonlinear Volterra-Fredholm integro-differential equations, Computers and Mathematics with Applica- tions, 61 (2011), 2821–2828.
  • [17] K. Parand, A. R. Rezaei, and A. Taghavi, Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: a comparison, Mathematical Methods in the Applied Sciences, 33 (17) (2010), 2076–2086.
  • [18] K. Parand, Z. Delafkar, N. Pakniat, A. Pirkhedri, and M. Kazemnasab Haji, Collocation method using sinc and Rational Legendre functions for solving Volterra’s population model, Commun. A. Nonlinear Sci. Numer. Simul., 16 (2011), 1811–1819.
  • [19] S. Paseban Hag, E. Osgooei, and E. Ashpazzadeh, Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations, Computational Methods for Differential Equations, 9(3) (2021),762–773.
  • [20] I. Podlubny, Fractional differential equations, (vol.198), Academic Press, San Diego, Calif, USA, 1999.
  • [21] Y. Rahrovi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad and E. Fathizadeh, Jacobi wavelets method for numerical solution of weakly singular Volterra integral equation, Global Analysis and Discrete Mathematics, to appear.
  • [22] L. J. Rong and P. Chang, Jacobi wavelet operational matrix of fractional integration for solving fractional integro- differential equation, J. Phys.: Conf. Ser., 693 012002 (2016).
  • [23] A. Saadatmandi, A. Khani, and M. R. Azizi, A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order, Tbilisi Mathematical Journal, 11(2) (2018), 123–137.
  • [24] K. Kh. Sadri, A. Amini, and C. Cheng, A new operational method to solve Abel,s and generalized Abel,s integral equations, Applied Mathematics and Computtation, 317 (2018), 49–67.
  • [25] H. Saeedi, N. Mollahasani, M. Mohseni Moghadam, and G. N. Chuev, An operational Haar wavelet method for solving fractional Volterra integral equations, International Journal of Applied Mathematics and Computer Science, 21(3) (2011), 535–547.
  • [26] S. C. Shiralashetti and S. Kumbinarasaiah, Hermite wavelets operational matrix of integration for the numerical solution of nonlinear singular initial value problems, Alexandria Engineering Journal, 57 (2018), 2591–2600.
  • [27] M. Ur Rehman and R. Ali Khan, The Legendre wavelet method for solving fractional diffrential equations, Com- munications in Nonlinear Science and Numerical Simulation, 16(11) (2011), 4163–4173.
  • [28] Y. Wang and Q. Fan, The second kind Chebyshev wavelet method for solving fractional differential equations, Applied Mathematics and Computation, 218(17) (2012), 8592–8601.
  • [29] S. Yu¨zbas, A numerical approximation for Volterra’s population growth model with fractional order, Applied Mathematical Modelling, 37 (2013), 3216–3227.
  • [30] M. A. Zaky, I. G. Ameen, and M. A. Abdelkawy, A new operational matrix based on jacobi wavelets for a class of variable-order fractional differential equations, The Publishing House Romanian Academy, Proceedings Of The Romanian Academy, Series A, 18(4) (2017), 315–32.
  • [31] A. Zamiri, A. Borhanifar, and A. Ghannadiasl, Laguerre collocation method for solving Lane-Emden type equa- tions, Computational Methods for Differential Equations, 9(4) (2021), 1176–1197.
آمار
تعداد مشاهده مقاله: 395
تعداد دریافت فایل اصل مقاله: 537


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب