Cubic B-spline collocation method and its application for anomalous fractional diffusion equations in transport dynamic systems

DOI10.1177/1077546316636282zbMath1366.35227OpenAlexW2339657375MaRDI QIDQ5275073

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Publication date: 10 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546316636282

zbMATH Keywords

collocation methodfractional diffusion equationsstability convergenceCaputo derivative: B-spline basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (12)

Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique ⋮ A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation ⋮ A numerical technique based on B‐spline for a class of time‐fractional diffusion equation ⋮ An efficient differential quadrature method for fractional advection-diffusion equation ⋮ Extended cubic B-splines in the numerical solution of time fractional telegraph equation ⋮ A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms ⋮ An exponential B-spline collocation method for the fractional sub-diffusion equation ⋮ A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection-diffusion equation ⋮ A high order numerical method and its convergence for time-fractional fourth order partial differential equations ⋮ Time-space spectral Galerkin method for time-fractional fourth-order partial differential equations ⋮ A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel ⋮ DEVELOPMENT AND ANALYSIS OF NEW APPROXIMATION OF EXTENDED CUBIC B-SPLINE TO THE NONLINEAR TIME FRACTIONAL KLEIN–GORDON EQUATION

Cites Work

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• B-spline collocation method for the singular-perturbation problem using artificial viscosity
• On the approximation order of splines on spherical triangulations
• Time fractional diffusion: A discrete random walk approach
• A finite difference method with non-uniform timesteps for fractional diffusion equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
• Stable upwind schemes for hyperbolic conservation laws with source terms

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