Orthogonal spline collocation method for the fourth-order diffusion system

DOI10.1016/j.camwa.2018.01.039zbMath1409.65079OpenAlexW2794020812MaRDI QIDQ1732529

Xuehua Yang, Da Xu, Hai-xiang Zhang

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.039

zbMATH Keywords

unconditional stabilityoptimal error estimatesorthogonal spline collocationfourth-order fractional diffusion equationL1 method

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (10)

Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation ⋮ The solution of direct and inverse fractional advection-dispersion problems by using orthogonal collocation and differential evolution ⋮ Error estimates for approximations of time-fractional biharmonic equation with nonsmooth data ⋮ Fast compact finite difference schemes on graded meshes for fourth-order multi-term fractional sub-diffusion equations with the first Dirichlet boundary conditions ⋮ The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel ⋮ Observability inequalities for Hermite bi-cubic orthogonal spline collocation methods of 2-D integro-differential equations in the square domains ⋮ A high order numerical method and its convergence for time-fractional fourth order partial differential equations ⋮ A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data ⋮ Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space ⋮ A spectral order method for solving the nonlinear fourth-order time-fractional problem

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