Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 144

This Paper With 9 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_JACM-7-4_005

تاریخ نمایه سازی: 18 مهر 1400

Abstract:

An important equation usually used in modeling neuronal dynamics is cable equation. In this work, a numerical method for the fractional cable equation which involves two Riemann-Liouville fractional derivatives is proposed. Our computational technique is based on collocation idea where a combination of Bernoulli polynomials and Sinc functions are used to approximate the solution to this problem. The constructed approximation by our method convert the fractional cable equation into a set of algebraic equations. Also, we provide two numerical examples to confirm the accuracy and effectiveness of the present method.

Authors

Nasrin Moshtaghi

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan ۸۷۳۱۷-۵۳۱۵۳, Iran

Abbas Saadatmandi

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan ۸۷۳۱۷-۵۳۱۵۳, Iran

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • Abdella, K., Ross, G., Mohseniahouei, Y., Solutions to the Blasius ...
  • [۲]Abu Argub, O., Application of residual power series method for ...
  • Abu Argub, O., Numerical algorithm for the solutions of fractional ...
  • Abu Argub, O., Maayah, B., Fitted fractional reproducing kernel algorithm ...
  • Abu Argub, O., Maayah, B., Modulation of reproducing kernel Hilbert ...
  • Aziz, M.R., Khani, A., Sinc operational matrix for solving the ...
  • Behroozifar, M., Habibi, N., A numerical approach for solving a ...
  • Dehghan, M., Abbaszadeh, M., Analysis of the element free Galerkin ...
  • Dehghan, M., Emami-Naeini, F., The Sinc-collocation and Sinc-Galerkin methods for ...
  • Guoi, B.N., Qi, F., Some identities and an explicit formula ...
  • Hu, X., Zhang, L., Implicit compact difference schemes for the ...
  • Inc, M., Cavlak, E., Bayram, M., An approximate solution of ...
  • Irandoust-pakchin, S., Dehghan, M., Abdi-mazraeh, S., Lakestani, M., Numerical solution ...
  • Keshavarz, E., Ordokhani, Y., Razzaghi, M., A numerical solution for ...
  • Keshavarz, E., Ordokhani, Y., Razzaghi, M., The Bernoulli wavelets operational ...
  • Kilbas, A.A., Srivastava, H.M., Trujillo, J.J., Theory and applications of ...
  • Langlands, T.A.M., Henry, B.I., Wearne, S.L., Fractional cable equation models ...
  • Liu, Y., Li, X., Xu, C., Finite difference/spectral approximations for ...
  • Liu, F., Yong, Q., Turner, L., Stability and convergence of ...
  • Lund, J. Bowes, K., Sinc methods for quadrature and differential ...
  • Mohebbi, A., Saffarian, M., Implicit RBF meshless method for the ...
  • Mueller, J.L., Shores, T.S., A new Sinc-Galerkin method for convection-diffusion ...
  • Parand, K., Dehghan, M., Pirkhedri, A., The use of Sinc-collocation ...
  • Podulbny, I. Fractional differential equations, Elsevier, ۱۹۹۸ ...
  • Quintana-Murillo, J., Yuste, S.B., An explicit numerical method for the ...
  • Saadatmandi, A., Bernstein operational matrix of fractional derivatives and its ...
  • Saadatmandi, A., Dehghan, M., Azizi, M.R., The Sinc-Legendre collocation method ...
  • Saadatmandi, A., Khani, A., Aziz, M.R., A sinc-Gauss-Jacobi collocation method ...
  • Saadatmandi, A., Shateri, S., Sinc-collocation method for solving sodium alginate(SA) ...
  • Stenger, F., Numerical methods based on Sinc and analytic functions, ...
  • Yang, X., Jiang, X., Zhang, H., A time-space spectral tau ...
  • Zhao, Z., Zheng, Y., Guo, P., A Galerkin finite element ...
  • Zheng, Y., Zhao, Z., The discontinuous Galerkin finite element method ...
  • Zheng, Y., Zhao, Z., The time discontinuous space-time finite element ...
  • Zhu, P., Xie, S., Wang, X., Nonsmooth data error estimates ...
  • Zhuang, P., Liu, F., Turner, I.,Anh, V., Galerkin finite element ...
  • نمایش کامل مراجع