A Newton linearized Crank-Nicolson method for the nonlinear space fractional Sobolev equation

DOI10.1155/2021/9979791zbMath1476.65188OpenAlexW3157980825MaRDI QIDQ2030039

Wahidullah Niazi, Yunzhu Ren, Yinghong Xu, Yifan Qin, Xiaocheng Yang

Publication date: 4 June 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9979791

zbMATH Keywords

Crank-Nicolson methodnonlinear space fractional Sobolev equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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