Fourth kind shifted Chebyshev polynomials for solving space fractional order advection-dispersion equation based on collocation method and finite difference approximation

DOI10.1007/s40819-018-0517-7zbMath1402.65128OpenAlexW2801555406WikidataQ129963093 ScholiaQ129963093MaRDI QIDQ1794647

Vijay Saw, Sushil Kumar

Publication date: 15 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0517-7

zbMATH Keywords

collocation methodfinite difference methodCaputo fractional derivativeadvection-dispersion equationChebyshev polynomials of fourth kind

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Best approximation, Chebyshev systems (41A50) 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) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional partial differential equations (35R11)

Related Items (6)

Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique ⋮ Vieta-Lucas polynomials for solving a fractional-order mathematical physics model ⋮ A non‐standard finite difference method for space fractional advection–diffusion equation ⋮ The impact of Chebyshev collocation method on solutions of fractional advection-diffusion equation ⋮ Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology ⋮ On numerical methods for solving Riesz space fractional advection-dispersion equations based on spline interpolants

Uses Software

• ma2dfc

Cites Work

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