A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets
暂无分享,去创建一个
Zhong Chen | Xiaohua Ding | Longbin Wu | Zhong Chen | Longbin Wu | X. Ding
[1] A. Cohen. Numerical Analysis of Wavelet Methods , 2003 .
[2] Boying Wu,et al. A new reproducing kernel method for variable order fractional boundary value problems for functional differential equations , 2017, J. Comput. Appl. Math..
[3] Zhong Chen,et al. Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space , 2018 .
[4] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[5] Shiva Sharma,et al. Comparative study of three numerical schemes for fractional integro-differential equations , 2017, J. Comput. Appl. Math..
[6] Bradley K. Alpert,et al. Adaptive solution of partial di erential equations in multiwavelet bases , 2002 .
[7] M. Shitikova,et al. Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .
[8] Jinjiao Hou,et al. A reproducing kernel method for solving heat conduction equations with delay , 2020, Appl. Math. Lett..
[9] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[10] Mehdi Dehghan,et al. Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets , 2014 .
[11] Mehdi Dehghan,et al. Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets , 2011, J. Comput. Appl. Math..
[12] Omar Abu Arqub,et al. Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations , 2019, Chaos, Solitons & Fractals.
[13] Mehdi Dehghan,et al. A Legendre collocation method for fractional integro-differential equations , 2011 .
[14] Xiaohua Ding,et al. A stable minimal search method for solving multi-order fractional differential equations based on reproducing kernel space , 2021, Numer. Algorithms.
[15] Fazhan Geng,et al. A reproducing kernel method for solving nonlocal fractional boundary value problems , 2012, Appl. Math. Lett..
[16] Shouzhi Yang,et al. Construction of biorthogonal multiwavelets , 2002 .
[17] Minqiang Xu,et al. An efficient reproducing kernel method for solving the Allen-Cahn equation , 2019, Appl. Math. Lett..
[18] V. E. Tarasov. Fractional integro-differential equations for electromagnetic waves in dielectric media , 2009, 1107.5892.
[19] Minqiang Xu,et al. A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems , 2021 .
[20] Hui Li,et al. A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations , 2018, Comput. Math. Appl..
[21] Zhong Chen,et al. A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation , 2020, Appl. Math. Lett..
[22] Chengming Huang,et al. Spectral collocation method for linear fractional integro-differential equations , 2014 .
[23] Richard T. Baillie,et al. Long memory processes and fractional integration in econometrics , 1996 .
[24] W. Dahmen,et al. Biorthogonal Spline Wavelets on the Interval—Stability and Moment Conditions , 1999 .
[25] Xiuying Li,et al. Reproducing kernel functions-based meshless method for variable order fractional advection-diffusion-reaction equations , 2020 .
[26] Y. Meyer,et al. Wavelets: Calderón-Zygmund and Multilinear Operators , 1997 .
[27] Hong Du,et al. A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel , 2020 .
[28] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .
[29] Rick Archibald,et al. Adaptive discontinuous Galerkin methods in multiwavelets bases , 2011 .
[30] Xiaoguang Zhang,et al. A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations , 2020 .
[31] S. Joe Christin Mary,et al. Numerical method for a non-local boundary value problem with Caputo fractional order , 2021 .
[32] Minqiang Xu,et al. An efficient method for fractional nonlinear differential equations by quasi‐Newton's method and simplified reproducing kernel method , 2018 .
[33] E. A. Rawashdeh,et al. Numerical solution of fractional integro-differential equations by collocation method , 2006, Appl. Math. Comput..
[34] George Pan,et al. Wavelets in Electromagnetics and Device Modeling , 2003 .
[35] George W. Pan,et al. Wavelets in Electromagnetics and Device Modeling: Pan/Wavelets in Electromagnetics and Device Modeling , 2003 .