Bernstein Polynomials Method for Fractional Convection-Diffusion Equation with Variable Coefficients

DOI10.3970/CMES.2012.083.639zbMath1356.35270OpenAlexW66623719MaRDI QIDQ2964605

Mingxu Yi, Chen Chen, Chunxiao Yu, Yi-Ming Chen

Publication date: 27 February 2017

Full work available at URL: http://www.techscience.com/doi/10.3970/cmes.2012.083.639.html

zbMATH Keywords

convection-diffusion equationBernstein polynomialsnumerical solutionSylvester equationvariable coefficientsfractional derivative

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves ⋮ Numerical solution for the variable order linear cable equation with Bernstein polynomials ⋮ Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions ⋮ Numerical approach based on two-dimensional fractional-order Legendre functions for solving fractional differential equations ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique

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