Finite difference spectral approximation for the time‐space fractional telegraph equation and its parameter estimation

DOI10.1002/MMA.5752zbMath1447.65036OpenAlexW2961544718MaRDI QIDQ5214885

Hui Zhang, Xiu Yang, Xiao-yun Jiang

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5752

zbMATH Keywords

stabilityconvergenceparameter estimationLevenberg-Marquardt methodFourier spectral methodtime-space fractional telegraph equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Fractional partial differential equations (35R11)

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