Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method

DOI10.1155/2017/2610804zbMath1404.65205OpenAlexW2753103130MaRDI QIDQ1798362

Xiaoyong Xu, Feng-Ying Zhou

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2610804

zbMATH Keywords

system of linear algebraic equationsshifted Chebyshev polynomialstime-fractional diffusion-wave equationsecond-kind Chebyshev wavelets collocation method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Fractional derivatives and integrals (26A33) Best approximation, Chebyshev systems (41A50) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (8)

Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative ⋮ Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions ⋮ Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method ⋮ A NOVEL COLLECTIVE ALGORITHM USING CUBIC UNIFORM SPLINE AND FINITE DIFFERENCE APPROACHES TO SOLVING FRACTIONAL DIFFUSION SINGULAR WAVE MODEL THROUGH DAMPING-REACTION FORCES ⋮ A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms ⋮ Unnamed Item ⋮ B-spline collocation discretizations of Caputo and Riemann-Liouville derivatives: a matrix comparison ⋮ Numerical solution of time fractional Tricomi-type equation by an RBF based meshless method

Uses Software

• Matlab

Cites Work

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