Chebyshev polynomials approach for numerically solving system of two-dimensional fractional PDEs and convergence analysis

DOI10.1016/j.amc.2017.05.057zbMath1426.65191OpenAlexW2734521832MaRDI QIDQ1740054

Qingxue Huang, Fuqiang Zhao, Jiaquan Xie, Jianmei Wang, Lifeng Ma, Yugui Li

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.057

zbMATH Keywords

convergence analysisChebyshev polynomialsnumerical solutioninitial conditionssystem of fractional-order PDEs

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Fractional partial differential equations (35R11)

Related Items (5)

Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions ⋮ Numerical simulation of fractional control system using Chebyshev polynomials ⋮ Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials ⋮ Haar wavelet method for approximating the solution of a coupled system of fractional-order integral-differential equations ⋮ Numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation

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